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M",[568,1174,1176,1339],{"className":1175,"ariaHidden":605},[604],[568,1177,1179,1183,1330,1333,1336],{"className":1178},[609],[568,1180],{"className":1181,"style":1182},[613],"height:1.238em;vertical-align:-0.35em;",[568,1184,1187,1238,1284,1287,1290,1293],{"className":1185},[1186],"minner",[568,1188,1190],{"className":1189},[902],[568,1191,1195],{"className":1192},[1193,1194],"delimsizing","mult",[568,1196,1198,1229],{"className":1197},[631,632],[568,1199,1201,1226],{"className":1200},[636],[568,1202,1205],{"className":1203,"style":1204},[640],"height:0.85em;",[568,1206,1208,1212],{"style":1207},"top:-2.85em;",[568,1209],{"className":1210,"style":1211},[648],"height:3.2em;",[568,1213,1215],{"style":1214},"width:0.333em;height:1.2em;",[1216,1217,1222],"svg",{"xmlns":1218,"width":1219,"height":1220,"viewBox":1221},"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg","0.333em","1.2em","0 0 333 1200",[1223,1224],"path",{"d":1225},"M145 15 v585 v0 v585 c2.667,10,9.667,15,21,15\nc10,0,16.667,-5,20,-15 v-585 v0 v-585 c-2.667,-10,-9.667,-15,-21,-15\nc-10,0,-16.667,5,-20,15z M188 15 H145 v585 v0 v585 h43z",[568,1227,664],{"className":1228},[663],[568,1230,1232],{"className":1231},[636],[568,1233,1236],{"className":1234,"style":1235},[640],"height:0.35em;",[568,1237],{},[568,1239,1241,1244],{"className":1240},[618],[568,1242,689],{"className":1243,"style":705},[618,622],[568,1245,1247],{"className":1246},[627],[568,1248,1250],{"className":1249},[631],[568,1251,1253],{"className":1252},[636],[568,1254,1257],{"className":1255,"style":1256},[640],"height:0.888em;",[568,1258,1260,1263],{"style":1259},"top:-3.063em;margin-right:0.05em;",[568,1261],{"className":1262,"style":649},[648],[568,1264,1266],{"className":1265},[653,654,655,656],[568,1267,1269,1272,1275,1278,1281],{"className":1268},[618,656],[568,1270,812],{"className":1271},[902,656],[568,1273,595],{"className":1274},[618,622,656],[568,1276,1149],{"className":1277},[947,656],[568,1279,1152],{"className":1280},[618,656],[568,1282,817],{"className":1283},[909,656],[568,1285,812],{"className":1286},[902],[568,1288,1159],{"className":1289},[618,622],[568,1291,817],{"className":1292},[909],[568,1294,1296],{"className":1295},[909],[568,1297,1299],{"className":1298},[1193,1194],[568,1300,1302,1322],{"className":1301},[631,632],[568,1303,1305,1319],{"className":1304},[636],[568,1306,1308],{"className":1307,"style":1204},[640],[568,1309,1310,1313],{"style":1207},[568,1311],{"className":1312,"style":1211},[648],[568,1314,1315],{"style":1214},[1216,1316,1317],{"xmlns":1218,"width":1219,"height":1220,"viewBox":1221},[1223,1318],{"d":1225},[568,1320,664],{"className":1321},[663],[568,1323,1325],{"className":1324},[636],[568,1326,1328],{"className":1327,"style":1235},[640],[568,1329],{},[568,1331],{"className":1332,"style":914},[913],[568,1334,1166],{"className":1335},[918],[568,1337],{"className":1338,"style":914},[913],[568,1340,1342,1346],{"className":1341},[609],[568,1343],{"className":1344,"style":1345},[613],"height:0.6833em;",[568,1347,1169],{"className":1348,"style":1349},[618,622],"margin-right:0.109em;"," für alle ",[568,1352,1354,1367],{"className":1353},[571],[568,1355,1357],{"className":1356},[575],[577,1358,1359],{"xmlns":579},[581,1360,1361,1365],{},[584,1362,1363],{},[590,1364,1159],{},[597,1366,1159],{"encoding":599},[568,1368,1370],{"className":1369,"ariaHidden":605},[604],[568,1371,1373,1377],{"className":1372},[609],[568,1374],{"className":1375,"style":1376},[613],"height:0.6151em;",[568,1378,1159],{"className":1379},[618,622]," zwischen ",[568,1382,1384,1401],{"className":1383},[571],[568,1385,1387],{"className":1386},[575],[577,1388,1389],{"xmlns":579},[581,1390,1391,1399],{},[584,1392,1393],{},[587,1394,1395,1397],{},[590,1396,723],{},[725,1398,727],{},[597,1400,730],{"encoding":599},[568,1402,1404],{"className":1403,"ariaHidden":605},[604],[568,1405,1407,1410],{"className":1406},[609],[568,1408],{"className":1409,"style":740},[613],[568,1411,1413,1416],{"className":1412},[618],[568,1414,723],{"className":1415},[618,622],[568,1417,1419],{"className":1418},[627],[568,1420,1422,1442],{"className":1421},[631,632],[568,1423,1425,1439],{"className":1424},[636],[568,1426,1428],{"className":1427,"style":759},[640],[568,1429,1430,1433],{"style":762},[568,1431],{"className":1432,"style":649},[648],[568,1434,1436],{"className":1435},[653,654,655,656],[568,1437,727],{"className":1438},[618,656],[568,1440,664],{"className":1441},[663],[568,1443,1445],{"className":1444},[636],[568,1446,1448],{"className":1447,"style":671},[640],[568,1449],{}," und ",[568,1452,1454,1467],{"className":1453},[571],[568,1455,1457],{"className":1456},[575],[577,1458,1459],{"xmlns":579},[581,1460,1461,1465],{},[584,1462,1463],{},[590,1464,723],{},[597,1466,723],{"encoding":599},[568,1468,1470],{"className":1469,"ariaHidden":605},[604],[568,1471,1473,1477],{"className":1472},[609],[568,1474],{"className":1475,"style":1476},[613],"height:0.4306em;",[568,1478,723],{"className":1479},[618,622],", dann ist",[568,1482,1485],{"className":1483},[1484],"katex-display",[568,1486,1488,1568],{"className":1487},[571],[568,1489,1491],{"className":1490},[575],[577,1492,1494],{"xmlns":579,"display":1493},"block",[581,1495,1496,1565],{},[584,1497,1498,1501,1507,1509,1511,1513,1515,1517,1537,1541,1543,1545,1547,1553],{},[590,1499,1135],{"mathvariant":1500},"normal",[587,1502,1503,1505],{},[590,1504,805],{},[590,1506,595],{},[809,1508,812],{"stretchy":811},[590,1510,723],{},[809,1512,817],{"stretchy":811},[590,1514,1135],{"mathvariant":1500},[809,1516,1166],{},[1518,1519,1520,1522],"mfrac",{},[590,1521,1169],{},[584,1523,1524,1526,1528,1530,1532,1534],{},[809,1525,812],{"stretchy":811},[590,1527,595],{},[809,1529,1149],{},[725,1531,1152],{},[809,1533,817],{"stretchy":811},[809,1535,1536],{"stretchy":811},"!",[1538,1539,1540],"mtext",{}," ",[590,1542,1135],{"mathvariant":1500},[590,1544,723],{},[809,1546,831],{},[587,1548,1549,1551],{},[590,1550,723],{},[725,1552,727],{},[1137,1554,1555,1557],{},[590,1556,1135],{"mathvariant":1500},[584,1558,1559,1561,1563],{},[590,1560,595],{},[809,1562,1149],{},[725,1564,1152],{},[597,1566,1567],{"encoding":599},"|R_n(x)| \\leq \\frac{M}{(n+1)!}\\,|x - x_0|^{n+1}",[568,1569,1571,1641,1757],{"className":1570,"ariaHidden":605},[604],[568,1572,1574,1577,1580,1620,1623,1626,1629,1632,1635,1638],{"className":1573},[609],[568,1575],{"className":1576,"style":856},[613],[568,1578,1135],{"className":1579},[618],[568,1581,1583,1586],{"className":1582},[618],[568,1584,805],{"className":1585,"style":863},[618,622],[568,1587,1589],{"className":1588},[627],[568,1590,1592,1612],{"className":1591},[631,632],[568,1593,1595,1609],{"className":1594},[636],[568,1596,1598],{"className":1597,"style":641},[640],[568,1599,1600,1603],{"style":878},[568,1601],{"className":1602,"style":649},[648],[568,1604,1606],{"className":1605},[653,654,655,656],[568,1607,595],{"className":1608},[618,622,656],[568,1610,664],{"className":1611},[663],[568,1613,1615],{"className":1614},[636],[568,1616,1618],{"className":1617,"style":671},[640],[568,1619],{},[568,1621,812],{"className":1622},[902],[568,1624,723],{"className":1625},[618,622],[568,1627,817],{"className":1628},[909],[568,1630,1135],{"className":1631},[618],[568,1633],{"className":1634,"style":914},[913],[568,1636,1166],{"className":1637},[918],[568,1639],{"className":1640,"style":914},[913],[568,1642,1644,1648,1738,1742,1745,1748,1751,1754],{"className":1643},[609],[568,1645],{"className":1646,"style":1647},[613],"height:2.2963em;vertical-align:-0.936em;",[568,1649,1651,1655,1735],{"className":1650},[618],[568,1652],{"className":1653},[902,1654],"nulldelimiter",[568,1656,1658],{"className":1657},[1518],[568,1659,1661,1726],{"className":1660},[631,632],[568,1662,1664,1723],{"className":1663},[636],[568,1665,1668,1700,1711],{"className":1666,"style":1667},[640],"height:1.3603em;",[568,1669,1671,1675],{"style":1670},"top:-2.314em;",[568,1672],{"className":1673,"style":1674},[648],"height:3em;",[568,1676,1678,1681,1684,1687,1690,1693,1696],{"className":1677},[618],[568,1679,812],{"className":1680},[902],[568,1682,595],{"className":1683},[618,622],[568,1685],{"className":1686,"style":943},[913],[568,1688,1149],{"className":1689},[947],[568,1691],{"className":1692,"style":943},[913],[568,1694,1152],{"className":1695},[618],[568,1697,1699],{"className":1698},[909],")!",[568,1701,1703,1706],{"style":1702},"top:-3.23em;",[568,1704],{"className":1705,"style":1674},[648],[568,1707],{"className":1708,"style":1710},[1709],"frac-line","border-bottom-width:0.04em;",[568,1712,1714,1717],{"style":1713},"top:-3.677em;",[568,1715],{"className":1716,"style":1674},[648],[568,1718,1720],{"className":1719},[618],[568,1721,1169],{"className":1722,"style":1349},[618,622],[568,1724,664],{"className":1725},[663],[568,1727,1729],{"className":1728},[636],[568,1730,1733],{"className":1731,"style":1732},[640],"height:0.936em;",[568,1734],{},[568,1736],{"className":1737},[909,1654],[568,1739],{"className":1740,"style":1741},[913],"margin-right:0.1667em;",[568,1743,1135],{"className":1744},[618],[568,1746,723],{"className":1747},[618,622],[568,1749],{"className":1750,"style":943},[913],[568,1752,831],{"className":1753},[947],[568,1755],{"className":1756,"style":943},[913],[568,1758,1760,1764,1804],{"className":1759},[609],[568,1761],{"className":1762,"style":1763},[613],"height:1.1141em;vertical-align:-0.25em;",[568,1765,1767,1770],{"className":1766},[618],[568,1768,723],{"className":1769},[618,622],[568,1771,1773],{"className":1772},[627],[568,1774,1776,1796],{"className":1775},[631,632],[568,1777,1779,1793],{"className":1778},[636],[568,1780,1782],{"className":1781,"style":759},[640],[568,1783,1784,1787],{"style":762},[568,1785],{"className":1786,"style":649},[648],[568,1788,1790],{"className":1789},[653,654,655,656],[568,1791,727],{"className":1792},[618,656],[568,1794,664],{"className":1795},[663],[568,1797,1799],{"className":1798},[636],[568,1800,1802],{"className":1801,"style":671},[640],[568,1803],{},[568,1805,1807,1810],{"className":1806},[618],[568,1808,1135],{"className":1809},[618],[568,1811,1813],{"className":1812},[627],[568,1814,1816],{"className":1815},[631],[568,1817,1819],{"className":1818},[636],[568,1820,1823],{"className":1821,"style":1822},[640],"height:0.8641em;",[568,1824,1826,1829],{"style":1825},"top:-3.113em;margin-right:0.05em;",[568,1827],{"className":1828,"style":649},[648],[568,1830,1832],{"className":1831},[653,654,655,656],[568,1833,1835,1838,1841],{"className":1834},[618,656],[568,1836,595],{"className":1837},[618,622,656],[568,1839,1149],{"className":1840},[947,656],[568,1842,1152],{"className":1843},[618,656],[564,1845,1846,1847,1899,1900,2174],{},"Für ",[568,1848,1850,1868],{"className":1849},[571],[568,1851,1853],{"className":1852},[575],[577,1854,1855],{"xmlns":579},[581,1856,1857,1865],{},[584,1858,1859,1861,1863],{},[590,1860,595],{},[809,1862,820],{},[725,1864,727],{},[597,1866,1867],{"encoding":599},"n = 0",[568,1869,1871,1889],{"className":1870,"ariaHidden":605},[604],[568,1872,1874,1877,1880,1883,1886],{"className":1873},[609],[568,1875],{"className":1876,"style":1476},[613],[568,1878,595],{"className":1879},[618,622],[568,1881],{"className":1882,"style":914},[913],[568,1884,820],{"className":1885},[918],[568,1887],{"className":1888,"style":914},[913],[568,1890,1892,1896],{"className":1891},[609],[568,1893],{"className":1894,"style":1895},[613],"height:0.6444em;",[568,1897,727],{"className":1898},[618]," ist die Formel genau der Mittelwertsatz: ",[568,1901,1903,1967],{"className":1902},[571],[568,1904,1906],{"className":1905},[575],[577,1907,1908],{"xmlns":579},[581,1909,1910,1964],{},[584,1911,1912,1914,1916,1918,1920,1922,1924,1926,1932,1934,1936,1944,1946,1948,1950,1952,1954,1956,1962],{},[590,1913,689],{},[809,1915,812],{"stretchy":811},[590,1917,723],{},[809,1919,817],{"stretchy":811},[809,1921,831],{},[590,1923,689],{},[809,1925,812],{"stretchy":811},[587,1927,1928,1930],{},[590,1929,723],{},[725,1931,727],{},[809,1933,817],{"stretchy":811},[809,1935,820],{},[1137,1937,1938,1940],{},[590,1939,689],{},[809,1941,1943],{"mathvariant":1500,"lspace":1942,"rspace":1942},"0em","′",[809,1945,812],{"stretchy":811},[590,1947,1024],{},[809,1949,817],{"stretchy":811},[809,1951,812],{"stretchy":811},[590,1953,723],{},[809,1955,831],{},[587,1957,1958,1960],{},[590,1959,723],{},[725,1961,727],{},[809,1963,817],{"stretchy":811},[597,1965,1966],{"encoding":599},"f(x) - f(x_0) = f'(\\xi)(x - x_0)",[568,1968,1970,1997,2061,2125],{"className":1969,"ariaHidden":605},[604],[568,1971,1973,1976,1979,1982,1985,1988,1991,1994],{"className":1972},[609],[568,1974],{"className":1975,"style":856},[613],[568,1977,689],{"className":1978,"style":705},[618,622],[568,1980,812],{"className":1981},[902],[568,1983,723],{"className":1984},[618,622],[568,1986,817],{"className":1987},[909],[568,1989],{"className":1990,"style":943},[913],[568,1992,831],{"className":1993},[947],[568,1995],{"className":1996,"style":943},[913],[568,1998,2000,2003,2006,2009,2049,2052,2055,2058],{"className":1999},[609],[568,2001],{"className":2002,"style":856},[613],[568,2004,689],{"className":2005,"style":705},[618,622],[568,2007,812],{"className":2008},[902],[568,2010,2012,2015],{"className":2011},[618],[568,2013,723],{"className":2014},[618,622],[568,2016,2018],{"className":2017},[627],[568,2019,2021,2041],{"className":2020},[631,632],[568,2022,2024,2038],{"className":2023},[636],[568,2025,2027],{"className":2026,"style":759},[640],[568,2028,2029,2032],{"style":762},[568,2030],{"className":2031,"style":649},[648],[568,2033,2035],{"className":2034},[653,654,655,656],[568,2036,727],{"className":2037},[618,656],[568,2039,664],{"className":2040},[663],[568,2042,2044],{"className":2043},[636],[568,2045,2047],{"className":2046,"style":671},[640],[568,2048],{},[568,2050,817],{"className":2051},[909],[568,2053],{"className":2054,"style":914},[913],[568,2056,820],{"className":2057},[918],[568,2059],{"className":2060,"style":914},[913],[568,2062,2064,2068,2101,2104,2107,2110,2113,2116,2119,2122],{"className":2063},[609],[568,2065],{"className":2066,"style":2067},[613],"height:1.0019em;vertical-align:-0.25em;",[568,2069,2071,2074],{"className":2070},[618],[568,2072,689],{"className":2073,"style":705},[618,622],[568,2075,2077],{"className":2076},[627],[568,2078,2080],{"className":2079},[631],[568,2081,2083],{"className":2082},[636],[568,2084,2087],{"className":2085,"style":2086},[640],"height:0.7519em;",[568,2088,2089,2092],{"style":1259},[568,2090],{"className":2091,"style":649},[648],[568,2093,2095],{"className":2094},[653,654,655,656],[568,2096,2098],{"className":2097},[618,656],[568,2099,1943],{"className":2100},[618,656],[568,2102,812],{"className":2103},[902],[568,2105,1024],{"className":2106,"style":1040},[618,622],[568,2108,817],{"className":2109},[909],[568,2111,812],{"className":2112},[902],[568,2114,723],{"className":2115},[618,622],[568,2117],{"className":2118,"style":943},[913],[568,2120,831],{"className":2121},[947],[568,2123],{"className":2124,"style":943},[913],[568,2126,2128,2131,2171],{"className":2127},[609],[568,2129],{"className":2130,"style":856},[613],[568,2132,2134,2137],{"className":2133},[618],[568,2135,723],{"className":2136},[618,622],[568,2138,2140],{"className":2139},[627],[568,2141,2143,2163],{"className":2142},[631,632],[568,2144,2146,2160],{"className":2145},[636],[568,2147,2149],{"className":2148,"style":759},[640],[568,2150,2151,2154],{"style":762},[568,2152],{"className":2153,"style":649},[648],[568,2155,2157],{"className":2156},[653,654,655,656],[568,2158,727],{"className":2159},[618,656],[568,2161,664],{"className":2162},[663],[568,2164,2166],{"className":2165},[636],[568,2167,2169],{"className":2168,"style":671},[640],[568,2170],{},[568,2172,817],{"className":2173},[909],".",[564,2176,2177,2178,2286,2287,2339,2340,2368,2369,2430,2431,1450,2474,1350,2514,2542],{},"Geht ",[568,2179,2181,2210],{"className":2180},[571],[568,2182,2184],{"className":2183},[575],[577,2185,2186],{"xmlns":579},[581,2187,2188,2207],{},[584,2189,2190,2196,2198,2200,2202,2205],{},[587,2191,2192,2194],{},[590,2193,805],{},[590,2195,595],{},[809,2197,812],{"stretchy":811},[590,2199,723],{},[809,2201,817],{"stretchy":811},[809,2203,2204],{},"→",[725,2206,727],{},[597,2208,2209],{"encoding":599},"R_n(x) \\to 0",[568,2211,2213,2277],{"className":2212,"ariaHidden":605},[604],[568,2214,2216,2219,2259,2262,2265,2268,2271,2274],{"className":2215},[609],[568,2217],{"className":2218,"style":856},[613],[568,2220,2222,2225],{"className":2221},[618],[568,2223,805],{"className":2224,"style":863},[618,622],[568,2226,2228],{"className":2227},[627],[568,2229,2231,2251],{"className":2230},[631,632],[568,2232,2234,2248],{"className":2233},[636],[568,2235,2237],{"className":2236,"style":641},[640],[568,2238,2239,2242],{"style":878},[568,2240],{"className":2241,"style":649},[648],[568,2243,2245],{"className":2244},[653,654,655,656],[568,2246,595],{"className":2247},[618,622,656],[568,2249,664],{"className":2250},[663],[568,2252,2254],{"className":2253},[636],[568,2255,2257],{"className":2256,"style":671},[640],[568,2258],{},[568,2260,812],{"className":2261},[902],[568,2263,723],{"className":2264},[618,622],[568,2266,817],{"className":2267},[909],[568,2269],{"className":2270,"style":914},[913],[568,2272,2204],{"className":2273},[918],[568,2275],{"className":2276,"style":914},[913],[568,2278,2280,2283],{"className":2279},[609],[568,2281],{"className":2282,"style":1895},[613],[568,2284,727],{"className":2285},[618]," für ",[568,2288,2290,2309],{"className":2289},[571],[568,2291,2293],{"className":2292},[575],[577,2294,2295],{"xmlns":579},[581,2296,2297,2306],{},[584,2298,2299,2301,2303],{},[590,2300,595],{},[809,2302,2204],{},[590,2304,2305],{"mathvariant":1500},"∞",[597,2307,2308],{"encoding":599},"n \\to \\infty",[568,2310,2312,2330],{"className":2311,"ariaHidden":605},[604],[568,2313,2315,2318,2321,2324,2327],{"className":2314},[609],[568,2316],{"className":2317,"style":1476},[613],[568,2319,595],{"className":2320},[618,622],[568,2322],{"className":2323,"style":914},[913],[568,2325,2204],{"className":2326},[918],[568,2328],{"className":2329,"style":914},[913],[568,2331,2333,2336],{"className":2332},[609],[568,2334],{"className":2335,"style":1476},[613],[568,2337,2305],{"className":2338},[618],", stellt die Taylorreihe die Funktion an der Stelle ",[568,2341,2343,2356],{"className":2342},[571],[568,2344,2346],{"className":2345},[575],[577,2347,2348],{"xmlns":579},[581,2349,2350,2354],{},[584,2351,2352],{},[590,2353,723],{},[597,2355,723],{"encoding":599},[568,2357,2359],{"className":2358,"ariaHidden":605},[604],[568,2360,2362,2365],{"className":2361},[609],[568,2363],{"className":2364,"style":1476},[613],[568,2366,723],{"className":2367},[618,622]," dar. So zeigt man z.B., dass die Reihen von ",[568,2370,2372,2391],{"className":2371},[571],[568,2373,2375],{"className":2374},[575],[577,2376,2377],{"xmlns":579},[581,2378,2379,2388],{},[584,2380,2381],{},[1137,2382,2383,2386],{},[590,2384,2385],{},"e",[590,2387,723],{},[597,2389,2390],{"encoding":599},"e^x",[568,2392,2394],{"className":2393,"ariaHidden":605},[604],[568,2395,2397,2401],{"className":2396},[609],[568,2398],{"className":2399,"style":2400},[613],"height:0.6644em;",[568,2402,2404,2407],{"className":2403},[618],[568,2405,2385],{"className":2406},[618,622],[568,2408,2410],{"className":2409},[627],[568,2411,2413],{"className":2412},[631],[568,2414,2416],{"className":2415},[636],[568,2417,2419],{"className":2418,"style":2400},[640],[568,2420,2421,2424],{"style":1259},[568,2422],{"className":2423,"style":649},[648],[568,2425,2427],{"className":2426},[653,654,655,656],[568,2428,723],{"className":2429},[618,622,656],", ",[568,2432,2434,2454],{"className":2433},[571],[568,2435,2437],{"className":2436},[575],[577,2438,2439],{"xmlns":579},[581,2440,2441,2451],{},[584,2442,2443,2446,2449],{},[590,2444,2445],{},"sin",[809,2447,2448],{},"⁡",[590,2450,723],{},[597,2452,2453],{"encoding":599},"\\sin x",[568,2455,2457],{"className":2456,"ariaHidden":605},[604],[568,2458,2460,2464,2468,2471],{"className":2459},[609],[568,2461],{"className":2462,"style":2463},[613],"height:0.6679em;",[568,2465,2445],{"className":2466},[2467],"mop",[568,2469],{"className":2470,"style":1741},[913],[568,2472,723],{"className":2473},[618,622],[568,2475,2477,2496],{"className":2476},[571],[568,2478,2480],{"className":2479},[575],[577,2481,2482],{"xmlns":579},[581,2483,2484,2493],{},[584,2485,2486,2489,2491],{},[590,2487,2488],{},"cos",[809,2490,2448],{},[590,2492,723],{},[597,2494,2495],{"encoding":599},"\\cos x",[568,2497,2499],{"className":2498,"ariaHidden":605},[604],[568,2500,2502,2505,2508,2511],{"className":2501},[609],[568,2503],{"className":2504,"style":1476},[613],[568,2506,2488],{"className":2507},[2467],[568,2509],{"className":2510,"style":1741},[913],[568,2512,723],{"className":2513},[618,622],[568,2515,2517,2530],{"className":2516},[571],[568,2518,2520],{"className":2519},[575],[577,2521,2522],{"xmlns":579},[581,2523,2524,2528],{},[584,2525,2526],{},[590,2527,723],{},[597,2529,723],{"encoding":599},[568,2531,2533],{"className":2532,"ariaHidden":605},[604],[568,2534,2536,2539],{"className":2535},[609],[568,2537],{"className":2538,"style":1476},[613],[568,2540,723],{"className":2541},[618,622]," konvergieren.",[559,2544,2546],{"id":2545},"beispiele","Beispiele",[564,2548,2549,2625,2626,2718],{},[568,2550,2552,2571],{"className":2551},[571],[568,2553,2555],{"className":2554},[575],[577,2556,2557],{"xmlns":579},[581,2558,2559,2568],{},[584,2560,2561],{},[1137,2562,2563,2565],{},[590,2564,2385],{},[725,2566,2567],{},"0,5",[597,2569,2570],{"encoding":599},"e^{0{,}5}",[568,2572,2574],{"className":2573,"ariaHidden":605},[604],[568,2575,2577,2581],{"className":2576},[609],[568,2578],{"className":2579,"style":2580},[613],"height:0.8141em;",[568,2582,2584,2587],{"className":2583},[618],[568,2585,2385],{"className":2586},[618,622],[568,2588,2590],{"className":2589},[627],[568,2591,2593],{"className":2592},[631],[568,2594,2596],{"className":2595},[636],[568,2597,2599],{"className":2598,"style":2580},[640],[568,2600,2601,2604],{"style":1259},[568,2602],{"className":2603,"style":649},[648],[568,2605,2607],{"className":2606},[653,654,655,656],[568,2608,2610,2613,2621],{"className":2609},[618,656],[568,2611,727],{"className":2612},[618,656],[568,2614,2616],{"className":2615},[618,656],[568,2617,2620],{"className":2618},[2619,656],"mpunct",",",[568,2622,2624],{"className":2623},[618,656],"5"," mit dem Taylorpolynom 3. Grades um ",[568,2627,2629,2651],{"className":2628},[571],[568,2630,2632],{"className":2631},[575],[577,2633,2634],{"xmlns":579},[581,2635,2636,2648],{},[584,2637,2638,2644,2646],{},[587,2639,2640,2642],{},[590,2641,723],{},[725,2643,727],{},[809,2645,820],{},[725,2647,727],{},[597,2649,2650],{"encoding":599},"x_0 = 0",[568,2652,2654,2709],{"className":2653,"ariaHidden":605},[604],[568,2655,2657,2660,2700,2703,2706],{"className":2656},[609],[568,2658],{"className":2659,"style":740},[613],[568,2661,2663,2666],{"className":2662},[618],[568,2664,723],{"className":2665},[618,622],[568,2667,2669],{"className":2668},[627],[568,2670,2672,2692],{"className":2671},[631,632],[568,2673,2675,2689],{"className":2674},[636],[568,2676,2678],{"className":2677,"style":759},[640],[568,2679,2680,2683],{"style":762},[568,2681],{"className":2682,"style":649},[648],[568,2684,2686],{"className":2685},[653,654,655,656],[568,2687,727],{"className":2688},[618,656],[568,2690,664],{"className":2691},[663],[568,2693,2695],{"className":2694},[636],[568,2696,2698],{"className":2697,"style":671},[640],[568,2699],{},[568,2701],{"className":2702,"style":914},[913],[568,2704,820],{"className":2705},[918],[568,2707],{"className":2708,"style":914},[913],[568,2710,2712,2715],{"className":2711},[609],[568,2713],{"className":2714,"style":1895},[613],[568,2716,727],{"className":2717},[618],":",[568,2720,2722],{"className":2721},[1484],[568,2723,2725,2790],{"className":2724},[571],[568,2726,2728],{"className":2727},[575],[577,2729,2730],{"xmlns":579,"display":1493},[581,2731,2732,2787],{},[584,2733,2734,2741,2743,2745,2747,2749,2751,2753,2755,2757,2768,2770,2781,2784],{},[587,2735,2736,2738],{},[590,2737,592],{},[725,2739,2740],{},"3",[809,2742,812],{"stretchy":811},[725,2744,2567],{},[809,2746,817],{"stretchy":811},[809,2748,820],{},[725,2750,1152],{},[809,2752,1149],{},[725,2754,2567],{},[809,2756,1149],{},[1518,2758,2759,2766],{},[1137,2760,2761,2763],{},[725,2762,2567],{},[725,2764,2765],{},"2",[725,2767,2765],{},[809,2769,1149],{},[1518,2771,2772,2778],{},[1137,2773,2774,2776],{},[725,2775,2567],{},[725,2777,2740],{},[725,2779,2780],{},"6",[809,2782,2783],{},"≈",[725,2785,2786],{},"1,6458",[597,2788,2789],{"encoding":599},"T_3(0{,}5) = 1 + 0{,}5 + \\frac{0{,}5^2}{2} + \\frac{0{,}5^3}{6} \\approx 1{,}6458",[568,2791,2793,2866,2885,2913,3028,3140],{"className":2792,"ariaHidden":605},[604],[568,2794,2796,2799,2839,2842,2845,2851,2854,2857,2860,2863],{"className":2795},[609],[568,2797],{"className":2798,"style":856},[613],[568,2800,2802,2805],{"className":2801},[618],[568,2803,592],{"className":2804,"style":623},[618,622],[568,2806,2808],{"className":2807},[627],[568,2809,2811,2831],{"className":2810},[631,632],[568,2812,2814,2828],{"className":2813},[636],[568,2815,2817],{"className":2816,"style":759},[640],[568,2818,2819,2822],{"style":644},[568,2820],{"className":2821,"style":649},[648],[568,2823,2825],{"className":2824},[653,654,655,656],[568,2826,2740],{"className":2827},[618,656],[568,2829,664],{"className":2830},[663],[568,2832,2834],{"className":2833},[636],[568,2835,2837],{"className":2836,"style":671},[640],[568,2838],{},[568,2840,812],{"className":2841},[902],[568,2843,727],{"className":2844},[618],[568,2846,2848],{"className":2847},[618],[568,2849,2620],{"className":2850},[2619],[568,2852,2624],{"className":2853},[618],[568,2855,817],{"className":2856},[909],[568,2858],{"className":2859,"style":914},[913],[568,2861,820],{"className":2862},[918],[568,2864],{"className":2865,"style":914},[913],[568,2867,2869,2873,2876,2879,2882],{"className":2868},[609],[568,2870],{"className":2871,"style":2872},[613],"height:0.7278em;vertical-align:-0.0833em;",[568,2874,1152],{"className":2875},[618],[568,2877],{"className":2878,"style":943},[913],[568,2880,1149],{"className":2881},[947],[568,2883],{"className":2884,"style":943},[913],[568,2886,2888,2892,2895,2901,2904,2907,2910],{"className":2887},[609],[568,2889],{"className":2890,"style":2891},[613],"height:0.8389em;vertical-align:-0.1944em;",[568,2893,727],{"className":2894},[618],[568,2896,2898],{"className":2897},[618],[568,2899,2620],{"className":2900},[2619],[568,2902,2624],{"className":2903},[618],[568,2905],{"className":2906,"style":943},[913],[568,2908,1149],{"className":2909},[947],[568,2911],{"className":2912,"style":943},[913],[568,2914,2916,2920,3019,3022,3025],{"className":2915},[609],[568,2917],{"className":2918,"style":2919},[613],"height:2.1771em;vertical-align:-0.686em;",[568,2921,2923,2926,3016],{"className":2922},[618],[568,2924],{"className":2925},[902,1654],[568,2927,2929],{"className":2928},[1518],[568,2930,2932,3007],{"className":2931},[631,632],[568,2933,2935,3004],{"className":2934},[636],[568,2936,2939,2950,2958],{"className":2937,"style":2938},[640],"height:1.4911em;",[568,2940,2941,2944],{"style":1670},[568,2942],{"className":2943,"style":1674},[648],[568,2945,2947],{"className":2946},[618],[568,2948,2765],{"className":2949},[618],[568,2951,2952,2955],{"style":1702},[568,2953],{"className":2954,"style":1674},[648],[568,2956],{"className":2957,"style":1710},[1709],[568,2959,2960,2963],{"style":1713},[568,2961],{"className":2962,"style":1674},[648],[568,2964,2966,2969,2975],{"className":2965},[618],[568,2967,727],{"className":2968},[618],[568,2970,2972],{"className":2971},[618],[568,2973,2620],{"className":2974},[2619],[568,2976,2978,2981],{"className":2977},[618],[568,2979,2624],{"className":2980},[618],[568,2982,2984],{"className":2983},[627],[568,2985,2987],{"className":2986},[631],[568,2988,2990],{"className":2989},[636],[568,2991,2993],{"className":2992,"style":2580},[640],[568,2994,2995,2998],{"style":1259},[568,2996],{"className":2997,"style":649},[648],[568,2999,3001],{"className":3000},[653,654,655,656],[568,3002,2765],{"className":3003},[618,656],[568,3005,664],{"className":3006},[663],[568,3008,3010],{"className":3009},[636],[568,3011,3014],{"className":3012,"style":3013},[640],"height:0.686em;",[568,3015],{},[568,3017],{"className":3018},[909,1654],[568,3020],{"className":3021,"style":943},[913],[568,3023,1149],{"className":3024},[947],[568,3026],{"className":3027,"style":943},[913],[568,3029,3031,3034,3131,3134,3137],{"className":3030},[609],[568,3032],{"className":3033,"style":2919},[613],[568,3035,3037,3040,3128],{"className":3036},[618],[568,3038],{"className":3039},[902,1654],[568,3041,3043],{"className":3042},[1518],[568,3044,3046,3120],{"className":3045},[631,632],[568,3047,3049,3117],{"className":3048},[636],[568,3050,3052,3063,3071],{"className":3051,"style":2938},[640],[568,3053,3054,3057],{"style":1670},[568,3055],{"className":3056,"style":1674},[648],[568,3058,3060],{"className":3059},[618],[568,3061,2780],{"className":3062},[618],[568,3064,3065,3068],{"style":1702},[568,3066],{"className":3067,"style":1674},[648],[568,3069],{"className":3070,"style":1710},[1709],[568,3072,3073,3076],{"style":1713},[568,3074],{"className":3075,"style":1674},[648],[568,3077,3079,3082,3088],{"className":3078},[618],[568,3080,727],{"className":3081},[618],[568,3083,3085],{"className":3084},[618],[568,3086,2620],{"className":3087},[2619],[568,3089,3091,3094],{"className":3090},[618],[568,3092,2624],{"className":3093},[618],[568,3095,3097],{"className":3096},[627],[568,3098,3100],{"className":3099},[631],[568,3101,3103],{"className":3102},[636],[568,3104,3106],{"className":3105,"style":2580},[640],[568,3107,3108,3111],{"style":1259},[568,3109],{"className":3110,"style":649},[648],[568,3112,3114],{"className":3113},[653,654,655,656],[568,3115,2740],{"className":3116},[618,656],[568,3118,664],{"className":3119},[663],[568,3121,3123],{"className":3122},[636],[568,3124,3126],{"className":3125,"style":3013},[640],[568,3127],{},[568,3129],{"className":3130},[909,1654],[568,3132],{"className":3133,"style":914},[913],[568,3135,2783],{"className":3136},[918],[568,3138],{"className":3139,"style":914},[913],[568,3141,3143,3146,3149,3155],{"className":3142},[609],[568,3144],{"className":3145,"style":2891},[613],[568,3147,1152],{"className":3148},[618],[568,3150,3152],{"className":3151},[618],[568,3153,2620],{"className":3154},[2619],[568,3156,3158],{"className":3157},[618],"6458",[564,3160,3161,3162,3222,3223,3311,3312,3460],{},"Die vierte Ableitung ist ",[568,3163,3165,3183],{"className":3164},[571],[568,3166,3168],{"className":3167},[575],[577,3169,3170],{"xmlns":579},[581,3171,3172,3180],{},[584,3173,3174],{},[1137,3175,3176,3178],{},[590,3177,2385],{},[590,3179,1159],{},[597,3181,3182],{"encoding":599},"e^t",[568,3184,3186],{"className":3185,"ariaHidden":605},[604],[568,3187,3189,3193],{"className":3188},[609],[568,3190],{"className":3191,"style":3192},[613],"height:0.7936em;",[568,3194,3196,3199],{"className":3195},[618],[568,3197,2385],{"className":3198},[618,622],[568,3200,3202],{"className":3201},[627],[568,3203,3205],{"className":3204},[631],[568,3206,3208],{"className":3207},[636],[568,3209,3211],{"className":3210,"style":3192},[640],[568,3212,3213,3216],{"style":1259},[568,3214],{"className":3215,"style":649},[648],[568,3217,3219],{"className":3218},[653,654,655,656],[568,3220,1159],{"className":3221},[618,622,656],", und für ",[568,3224,3226,3256],{"className":3225},[571],[568,3227,3229],{"className":3228},[575],[577,3230,3231],{"xmlns":579},[581,3232,3233,3253],{},[584,3234,3235,3237,3240,3243,3245,3248,3250],{},[590,3236,1159],{},[809,3238,3239],{},"∈",[809,3241,3242],{"stretchy":811},"[",[725,3244,727],{},[809,3246,3247],{"separator":605},";",[725,3249,2567],{},[809,3251,3252],{"stretchy":811},"]",[597,3254,3255],{"encoding":599},"t \\in [0; 0{,}5]",[568,3257,3259,3278],{"className":3258,"ariaHidden":605},[604],[568,3260,3262,3266,3269,3272,3275],{"className":3261},[609],[568,3263],{"className":3264,"style":3265},[613],"height:0.6542em;vertical-align:-0.0391em;",[568,3267,1159],{"className":3268},[618,622],[568,3270],{"className":3271,"style":914},[913],[568,3273,3239],{"className":3274},[918],[568,3276],{"className":3277,"style":914},[913],[568,3279,3281,3284,3287,3290,3293,3296,3299,3305,3308],{"className":3280},[609],[568,3282],{"className":3283,"style":856},[613],[568,3285,3242],{"className":3286},[902],[568,3288,727],{"className":3289},[618],[568,3291,3247],{"className":3292},[2619],[568,3294],{"className":3295,"style":1741},[913],[568,3297,727],{"className":3298},[618],[568,3300,3302],{"className":3301},[618],[568,3303,2620],{"className":3304},[2619],[568,3306,2624],{"className":3307},[618],[568,3309,3252],{"className":3310},[909]," gilt ",[568,3313,3315,3346],{"className":3314},[571],[568,3316,3318],{"className":3317},[575],[577,3319,3320],{"xmlns":579},[581,3321,3322,3343],{},[584,3323,3324,3330,3332,3338,3341],{},[1137,3325,3326,3328],{},[590,3327,2385],{},[590,3329,1159],{},[809,3331,1166],{},[1137,3333,3334,3336],{},[590,3335,2385],{},[725,3337,2567],{},[809,3339,3340],{},"\u003C",[725,3342,2765],{},[597,3344,3345],{"encoding":599},"e^t \\leq e^{0{,}5} \u003C 2",[568,3347,3349,3394,3451],{"className":3348,"ariaHidden":605},[604],[568,3350,3352,3356,3385,3388,3391],{"className":3351},[609],[568,3353],{"className":3354,"style":3355},[613],"height:0.9295em;vertical-align:-0.136em;",[568,3357,3359,3362],{"className":3358},[618],[568,3360,2385],{"className":3361},[618,622],[568,3363,3365],{"className":3364},[627],[568,3366,3368],{"className":3367},[631],[568,3369,3371],{"className":3370},[636],[568,3372,3374],{"className":3373,"style":3192},[640],[568,3375,3376,3379],{"style":1259},[568,3377],{"className":3378,"style":649},[648],[568,3380,3382],{"className":3381},[653,654,655,656],[568,3383,1159],{"className":3384},[618,622,656],[568,3386],{"className":3387,"style":914},[913],[568,3389,1166],{"className":3390},[918],[568,3392],{"className":3393,"style":914},[913],[568,3395,3397,3401,3442,3445,3448],{"className":3396},[609],[568,3398],{"className":3399,"style":3400},[613],"height:0.8532em;vertical-align:-0.0391em;",[568,3402,3404,3407],{"className":3403},[618],[568,3405,2385],{"className":3406},[618,622],[568,3408,3410],{"className":3409},[627],[568,3411,3413],{"className":3412},[631],[568,3414,3416],{"className":3415},[636],[568,3417,3419],{"className":3418,"style":2580},[640],[568,3420,3421,3424],{"style":1259},[568,3422],{"className":3423,"style":649},[648],[568,3425,3427],{"className":3426},[653,654,655,656],[568,3428,3430,3433,3439],{"className":3429},[618,656],[568,3431,727],{"className":3432},[618,656],[568,3434,3436],{"className":3435},[618,656],[568,3437,2620],{"className":3438},[2619,656],[568,3440,2624],{"className":3441},[618,656],[568,3443],{"className":3444,"style":914},[913],[568,3446,3340],{"className":3447},[918],[568,3449],{"className":3450,"style":914},[913],[568,3452,3454,3457],{"className":3453},[609],[568,3455],{"className":3456,"style":1895},[613],[568,3458,2765],{"className":3459},[618],". Also ist",[568,3462,3464],{"className":3463},[1484],[568,3465,3467,3519],{"className":3466},[571],[568,3468,3470],{"className":3469},[575],[577,3471,3472],{"xmlns":579,"display":1493},[581,3473,3474,3516],{},[584,3475,3476,3478,3484,3486,3488,3490,3492,3494,3501,3504,3511,3513],{},[590,3477,1135],{"mathvariant":1500},[587,3479,3480,3482],{},[590,3481,805],{},[725,3483,2740],{},[809,3485,812],{"stretchy":811},[725,3487,2567],{},[809,3489,817],{"stretchy":811},[590,3491,1135],{"mathvariant":1500},[809,3493,1166],{},[1518,3495,3496,3498],{},[725,3497,2765],{},[725,3499,3500],{},"24",[809,3502,3503],{},"⋅",[1137,3505,3506,3508],{},[725,3507,2567],{},[725,3509,3510],{},"4",[809,3512,2783],{},[725,3514,3515],{},"0,0052",[597,3517,3518],{"encoding":599},"|R_3(0{,}5)| \\leq \\frac{2}{24} \\cdot 0{,}5^4 \\approx 0{,}0052",[568,3520,3522,3601,3680,3734],{"className":3521,"ariaHidden":605},[604],[568,3523,3525,3528,3531,3571,3574,3577,3583,3586,3589,3592,3595,3598],{"className":3524},[609],[568,3526],{"className":3527,"style":856},[613],[568,3529,1135],{"className":3530},[618],[568,3532,3534,3537],{"className":3533},[618],[568,3535,805],{"className":3536,"style":863},[618,622],[568,3538,3540],{"className":3539},[627],[568,3541,3543,3563],{"className":3542},[631,632],[568,3544,3546,3560],{"className":3545},[636],[568,3547,3549],{"className":3548,"style":759},[640],[568,3550,3551,3554],{"style":878},[568,3552],{"className":3553,"style":649},[648],[568,3555,3557],{"className":3556},[653,654,655,656],[568,3558,2740],{"className":3559},[618,656],[568,3561,664],{"className":3562},[663],[568,3564,3566],{"className":3565},[636],[568,3567,3569],{"className":3568,"style":671},[640],[568,3570],{},[568,3572,812],{"className":3573},[902],[568,3575,727],{"className":3576},[618],[568,3578,3580],{"className":3579},[618],[568,3581,2620],{"className":3582},[2619],[568,3584,2624],{"className":3585},[618],[568,3587,817],{"className":3588},[909],[568,3590,1135],{"className":3591},[618],[568,3593],{"className":3594,"style":914},[913],[568,3596,1166],{"className":3597},[918],[568,3599],{"className":3600,"style":914},[913],[568,3602,3604,3608,3671,3674,3677],{"className":3603},[609],[568,3605],{"className":3606,"style":3607},[613],"height:2.0074em;vertical-align:-0.686em;",[568,3609,3611,3614,3668],{"className":3610},[618],[568,3612],{"className":3613},[902,1654],[568,3615,3617],{"className":3616},[1518],[568,3618,3620,3660],{"className":3619},[631,632],[568,3621,3623,3657],{"className":3622},[636],[568,3624,3627,3638,3646],{"className":3625,"style":3626},[640],"height:1.3214em;",[568,3628,3629,3632],{"style":1670},[568,3630],{"className":3631,"style":1674},[648],[568,3633,3635],{"className":3634},[618],[568,3636,3500],{"className":3637},[618],[568,3639,3640,3643],{"style":1702},[568,3641],{"className":3642,"style":1674},[648],[568,3644],{"className":3645,"style":1710},[1709],[568,3647,3648,3651],{"style":1713},[568,3649],{"className":3650,"style":1674},[648],[568,3652,3654],{"className":3653},[618],[568,3655,2765],{"className":3656},[618],[568,3658,664],{"className":3659},[663],[568,3661,3663],{"className":3662},[636],[568,3664,3666],{"className":3665,"style":3013},[640],[568,3667],{},[568,3669],{"className":3670},[909,1654],[568,3672],{"className":3673,"style":943},[913],[568,3675,3503],{"className":3676},[947],[568,3678],{"className":3679,"style":943},[913],[568,3681,3683,3687,3690,3696,3725,3728,3731],{"className":3682},[609],[568,3684],{"className":3685,"style":3686},[613],"height:1.0585em;vertical-align:-0.1944em;",[568,3688,727],{"className":3689},[618],[568,3691,3693],{"className":3692},[618],[568,3694,2620],{"className":3695},[2619],[568,3697,3699,3702],{"className":3698},[618],[568,3700,2624],{"className":3701},[618],[568,3703,3705],{"className":3704},[627],[568,3706,3708],{"className":3707},[631],[568,3709,3711],{"className":3710},[636],[568,3712,3714],{"className":3713,"style":1822},[640],[568,3715,3716,3719],{"style":1825},[568,3717],{"className":3718,"style":649},[648],[568,3720,3722],{"className":3721},[653,654,655,656],[568,3723,3510],{"className":3724},[618,656],[568,3726],{"className":3727,"style":914},[913],[568,3729,2783],{"className":3730},[918],[568,3732],{"className":3733,"style":914},[913],[568,3735,3737,3740,3743,3749],{"className":3736},[609],[568,3738],{"className":3739,"style":2891},[613],[568,3741,727],{"className":3742},[618],[568,3744,3746],{"className":3745},[618],[568,3747,2620],{"className":3748},[2619],[568,3750,3752],{"className":3751},[618],"0052",[564,3754,3755,3756,4012],{},"Der tatsächliche Fehler ist ",[568,3757,3759,3805],{"className":3758},[571],[568,3760,3762],{"className":3761},[575],[577,3763,3764],{"xmlns":579},[581,3765,3766,3802],{},[584,3767,3768,3774,3776,3782,3784,3786,3788,3790,3793,3795,3797,3799],{},[1137,3769,3770,3772],{},[590,3771,2385],{},[725,3773,2567],{},[809,3775,831],{},[587,3777,3778,3780],{},[590,3779,592],{},[725,3781,2740],{},[809,3783,812],{"stretchy":811},[725,3785,2567],{},[809,3787,817],{"stretchy":811},[809,3789,2783],{},[725,3791,3792],{},"1,6487",[809,3794,831],{},[725,3796,2786],{},[809,3798,2783],{},[725,3800,3801],{},"0,0029",[597,3803,3804],{"encoding":599},"e^{0{,}5} - T_3(0{,}5) \\approx 1{,}6487 - 1{,}6458 \\approx 0{,}0029",[568,3806,3808,3865,3938,3966,3993],{"className":3807,"ariaHidden":605},[604],[568,3809,3811,3815,3856,3859,3862],{"className":3810},[609],[568,3812],{"className":3813,"style":3814},[613],"height:0.8974em;vertical-align:-0.0833em;",[568,3816,3818,3821],{"className":3817},[618],[568,3819,2385],{"className":3820},[618,622],[568,3822,3824],{"className":3823},[627],[568,3825,3827],{"className":3826},[631],[568,3828,3830],{"className":3829},[636],[568,3831,3833],{"className":3832,"style":2580},[640],[568,3834,3835,3838],{"style":1259},[568,3836],{"className":3837,"style":649},[648],[568,3839,3841],{"className":3840},[653,654,655,656],[568,3842,3844,3847,3853],{"className":3843},[618,656],[568,3845,727],{"className":3846},[618,656],[568,3848,3850],{"className":3849},[618,656],[568,3851,2620],{"className":3852},[2619,656],[568,3854,2624],{"className":3855},[618,656],[568,3857],{"className":3858,"style":943},[913],[568,3860,831],{"className":3861},[947],[568,3863],{"className":3864,"style":943},[913],[568,3866,3868,3871,3911,3914,3917,3923,3926,3929,3932,3935],{"className":3867},[609],[568,3869],{"className":3870,"style":856},[613],[568,3872,3874,3877],{"className":3873},[618],[568,3875,592],{"className":3876,"style":623},[618,622],[568,3878,3880],{"className":3879},[627],[568,3881,3883,3903],{"className":3882},[631,632],[568,3884,3886,3900],{"className":3885},[636],[568,3887,3889],{"className":3888,"style":759},[640],[568,3890,3891,3894],{"style":644},[568,3892],{"className":3893,"style":649},[648],[568,3895,3897],{"className":3896},[653,654,655,656],[568,3898,2740],{"className":3899},[618,656],[568,3901,664],{"className":3902},[663],[568,3904,3906],{"className":3905},[636],[568,3907,3909],{"className":3908,"style":671},[640],[568,3910],{},[568,3912,812],{"className":3913},[902],[568,3915,727],{"className":3916},[618],[568,3918,3920],{"className":3919},[618],[568,3921,2620],{"className":3922},[2619],[568,3924,2624],{"className":3925},[618],[568,3927,817],{"className":3928},[909],[568,3930],{"className":3931,"style":914},[913],[568,3933,2783],{"className":3934},[918],[568,3936],{"className":3937,"style":914},[913],[568,3939,3941,3944,3947,3953,3957,3960,3963],{"className":3940},[609],[568,3942],{"className":3943,"style":2891},[613],[568,3945,1152],{"className":3946},[618],[568,3948,3950],{"className":3949},[618],[568,3951,2620],{"className":3952},[2619],[568,3954,3956],{"className":3955},[618],"6487",[568,3958],{"className":3959,"style":943},[913],[568,3961,831],{"className":3962},[947],[568,3964],{"className":3965,"style":943},[913],[568,3967,3969,3972,3975,3981,3984,3987,3990],{"className":3968},[609],[568,3970],{"className":3971,"style":2891},[613],[568,3973,1152],{"className":3974},[618],[568,3976,3978],{"className":3977},[618],[568,3979,2620],{"className":3980},[2619],[568,3982,3158],{"className":3983},[618],[568,3985],{"className":3986,"style":914},[913],[568,3988,2783],{"className":3989},[918],[568,3991],{"className":3992,"style":914},[913],[568,3994,3996,3999,4002,4008],{"className":3995},[609],[568,3997],{"className":3998,"style":2891},[613],[568,4000,727],{"className":4001},[618],[568,4003,4005],{"className":4004},[618],[568,4006,2620],{"className":4007},[2619],[568,4009,4011],{"className":4010},[618],"0029",", liegt also unter der Schranke.",[564,4014,4015,4064,4065,4259,4260,4330,4331,4401,4402,4461,4462,4532,4533,4564,4565,4812,4813,2174],{},[568,4016,4018,4036],{"className":4017},[571],[568,4019,4021],{"className":4020},[575],[577,4022,4023],{"xmlns":579},[581,4024,4025,4033],{},[584,4026,4027,4029,4031],{},[590,4028,2445],{},[809,4030,2448],{},[725,4032,2567],{},[597,4034,4035],{"encoding":599},"\\sin 0{,}5",[568,4037,4039],{"className":4038,"ariaHidden":605},[604],[568,4040,4042,4046,4049,4052,4055,4061],{"className":4041},[609],[568,4043],{"className":4044,"style":4045},[613],"height:0.8623em;vertical-align:-0.1944em;",[568,4047,2445],{"className":4048},[2467],[568,4050],{"className":4051,"style":1741},[913],[568,4053,727],{"className":4054},[618],[568,4056,4058],{"className":4057},[618],[568,4059,2620],{"className":4060},[2619],[568,4062,2624],{"className":4063},[618]," mit ",[568,4066,4068,4099],{"className":4067},[571],[568,4069,4071],{"className":4070},[575],[577,4072,4073],{"xmlns":579},[581,4074,4075,4096],{},[584,4076,4077,4079,4081,4091,4093],{},[590,4078,723],{},[809,4080,831],{},[1518,4082,4083,4089],{},[1137,4084,4085,4087],{},[590,4086,723],{},[725,4088,2740],{},[725,4090,2780],{},[809,4092,2783],{},[725,4094,4095],{},"0,4792",[597,4097,4098],{"encoding":599},"x - \\frac{x^3}{6} \\approx 0{,}4792",[568,4100,4102,4121,4240],{"className":4101,"ariaHidden":605},[604],[568,4103,4105,4109,4112,4115,4118],{"className":4104},[609],[568,4106],{"className":4107,"style":4108},[613],"height:0.6667em;vertical-align:-0.0833em;",[568,4110,723],{"className":4111},[618,622],[568,4113],{"className":4114,"style":943},[913],[568,4116,831],{"className":4117},[947],[568,4119],{"className":4120,"style":943},[913],[568,4122,4124,4128,4231,4234,4237],{"className":4123},[609],[568,4125],{"className":4126,"style":4127},[613],"height:1.3629em;vertical-align:-0.345em;",[568,4129,4131,4134,4228],{"className":4130},[618],[568,4132],{"className":4133},[902,1654],[568,4135,4137],{"className":4136},[1518],[568,4138,4140,4219],{"className":4139},[631,632],[568,4141,4143,4216],{"className":4142},[636],[568,4144,4147,4162,4170],{"className":4145,"style":4146},[640],"height:1.0179em;",[568,4148,4150,4153],{"style":4149},"top:-2.655em;",[568,4151],{"className":4152,"style":1674},[648],[568,4154,4156],{"className":4155},[653,654,655,656],[568,4157,4159],{"className":4158},[618,656],[568,4160,2780],{"className":4161},[618,656],[568,4163,4164,4167],{"style":1702},[568,4165],{"className":4166,"style":1674},[648],[568,4168],{"className":4169,"style":1710},[1709],[568,4171,4173,4176],{"style":4172},"top:-3.394em;",[568,4174],{"className":4175,"style":1674},[648],[568,4177,4179],{"className":4178},[653,654,655,656],[568,4180,4182],{"className":4181},[618,656],[568,4183,4185,4188],{"className":4184},[618,656],[568,4186,723],{"className":4187},[618,622,656],[568,4189,4191],{"className":4190},[627],[568,4192,4194],{"className":4193},[631],[568,4195,4197],{"className":4196},[636],[568,4198,4201],{"className":4199,"style":4200},[640],"height:0.8913em;",[568,4202,4204,4208],{"style":4203},"top:-2.931em;margin-right:0.0714em;",[568,4205],{"className":4206,"style":4207},[648],"height:2.5em;",[568,4209,4213],{"className":4210},[653,4211,4212,656],"reset-size3","size1",[568,4214,2740],{"className":4215},[618,656],[568,4217,664],{"className":4218},[663],[568,4220,4222],{"className":4221},[636],[568,4223,4226],{"className":4224,"style":4225},[640],"height:0.345em;",[568,4227],{},[568,4229],{"className":4230},[909,1654],[568,4232],{"className":4233,"style":914},[913],[568,4235,2783],{"className":4236},[918],[568,4238],{"className":4239,"style":914},[913],[568,4241,4243,4246,4249,4255],{"className":4242},[609],[568,4244],{"className":4245,"style":2891},[613],[568,4247,727],{"className":4248},[618],[568,4250,4252],{"className":4251},[618],[568,4253,2620],{"className":4254},[2619],[568,4256,4258],{"className":4257},[618],"4792",": Dieses Polynom ist ",[568,4261,4263,4281],{"className":4262},[571],[568,4264,4266],{"className":4265},[575],[577,4267,4268],{"xmlns":579},[581,4269,4270,4278],{},[584,4271,4272],{},[587,4273,4274,4276],{},[590,4275,592],{},[725,4277,2740],{},[597,4279,4280],{"encoding":599},"T_3",[568,4282,4284],{"className":4283,"ariaHidden":605},[604],[568,4285,4287,4290],{"className":4286},[609],[568,4288],{"className":4289,"style":614},[613],[568,4291,4293,4296],{"className":4292},[618],[568,4294,592],{"className":4295,"style":623},[618,622],[568,4297,4299],{"className":4298},[627],[568,4300,4302,4322],{"className":4301},[631,632],[568,4303,4305,4319],{"className":4304},[636],[568,4306,4308],{"className":4307,"style":759},[640],[568,4309,4310,4313],{"style":644},[568,4311],{"className":4312,"style":649},[648],[568,4314,4316],{"className":4315},[653,654,655,656],[568,4317,2740],{"className":4318},[618,656],[568,4320,664],{"className":4321},[663],[568,4323,4325],{"className":4324},[636],[568,4326,4328],{"className":4327,"style":671},[640],[568,4329],{}," und zugleich ",[568,4332,4334,4352],{"className":4333},[571],[568,4335,4337],{"className":4336},[575],[577,4338,4339],{"xmlns":579},[581,4340,4341,4349],{},[584,4342,4343],{},[587,4344,4345,4347],{},[590,4346,592],{},[725,4348,3510],{},[597,4350,4351],{"encoding":599},"T_4",[568,4353,4355],{"className":4354,"ariaHidden":605},[604],[568,4356,4358,4361],{"className":4357},[609],[568,4359],{"className":4360,"style":614},[613],[568,4362,4364,4367],{"className":4363},[618],[568,4365,592],{"className":4366,"style":623},[618,622],[568,4368,4370],{"className":4369},[627],[568,4371,4373,4393],{"className":4372},[631,632],[568,4374,4376,4390],{"className":4375},[636],[568,4377,4379],{"className":4378,"style":759},[640],[568,4380,4381,4384],{"style":644},[568,4382],{"className":4383,"style":649},[648],[568,4385,4387],{"className":4386},[653,654,655,656],[568,4388,3510],{"className":4389},[618,656],[568,4391,664],{"className":4392},[663],[568,4394,4396],{"className":4395},[636],[568,4397,4399],{"className":4398,"style":671},[640],[568,4400],{},", weil der ",[568,4403,4405,4423],{"className":4404},[571],[568,4406,4408],{"className":4407},[575],[577,4409,4410],{"xmlns":579},[581,4411,4412,4420],{},[584,4413,4414],{},[1137,4415,4416,4418],{},[590,4417,723],{},[725,4419,3510],{},[597,4421,4422],{"encoding":599},"x^4",[568,4424,4426],{"className":4425,"ariaHidden":605},[604],[568,4427,4429,4432],{"className":4428},[609],[568,4430],{"className":4431,"style":2580},[613],[568,4433,4435,4438],{"className":4434},[618],[568,4436,723],{"className":4437},[618,622],[568,4439,4441],{"className":4440},[627],[568,4442,4444],{"className":4443},[631],[568,4445,4447],{"className":4446},[636],[568,4448,4450],{"className":4449,"style":2580},[640],[568,4451,4452,4455],{"style":1259},[568,4453],{"className":4454,"style":649},[648],[568,4456,4458],{"className":4457},[653,654,655,656],[568,4459,3510],{"className":4460},[618,656],"-Term fehlt. Man darf deshalb das Restglied ",[568,4463,4465,4483],{"className":4464},[571],[568,4466,4468],{"className":4467},[575],[577,4469,4470],{"xmlns":579},[581,4471,4472,4480],{},[584,4473,4474],{},[587,4475,4476,4478],{},[590,4477,805],{},[725,4479,3510],{},[597,4481,4482],{"encoding":599},"R_4",[568,4484,4486],{"className":4485,"ariaHidden":605},[604],[568,4487,4489,4492],{"className":4488},[609],[568,4490],{"className":4491,"style":614},[613],[568,4493,4495,4498],{"className":4494},[618],[568,4496,805],{"className":4497,"style":863},[618,622],[568,4499,4501],{"className":4500},[627],[568,4502,4504,4524],{"className":4503},[631,632],[568,4505,4507,4521],{"className":4506},[636],[568,4508,4510],{"className":4509,"style":759},[640],[568,4511,4512,4515],{"style":878},[568,4513],{"className":4514,"style":649},[648],[568,4516,4518],{"className":4517},[653,654,655,656],[568,4519,3510],{"className":4520},[618,656],[568,4522,664],{"className":4523},[663],[568,4525,4527],{"className":4526},[636],[568,4528,4530],{"className":4529,"style":671},[640],[568,4531],{}," mit der 5. Ableitung ",[568,4534,4536,4552],{"className":4535},[571],[568,4537,4539],{"className":4538},[575],[577,4540,4541],{"xmlns":579},[581,4542,4543,4549],{},[584,4544,4545,4547],{},[590,4546,2488],{},[809,4548,2448],{},[597,4550,4551],{"encoding":599},"\\cos",[568,4553,4555],{"className":4554,"ariaHidden":605},[604],[568,4556,4558,4561],{"className":4557},[609],[568,4559],{"className":4560,"style":1476},[613],[568,4562,2488],{"className":4563},[2467]," verwenden: ",[568,4566,4568,4608],{"className":4567},[571],[568,4569,4571],{"className":4570},[575],[577,4572,4573],{"xmlns":579},[581,4574,4575,4605],{},[584,4576,4577,4579,4585,4587,4589,4600,4602],{},[590,4578,1135],{"mathvariant":1500},[587,4580,4581,4583],{},[590,4582,805],{},[725,4584,3510],{},[590,4586,1135],{"mathvariant":1500},[809,4588,1166],{},[1518,4590,4591,4597],{},[1137,4592,4593,4595],{},[725,4594,2567],{},[725,4596,2624],{},[725,4598,4599],{},"120",[809,4601,2783],{},[725,4603,4604],{},"0,00026",[597,4606,4607],{"encoding":599},"|R_4| \\leq \\frac{0{,}5^5}{120} \\approx 0{,}00026",[568,4609,4611,4672,4793],{"className":4610,"ariaHidden":605},[604],[568,4612,4614,4617,4620,4660,4663,4666,4669],{"className":4613},[609],[568,4615],{"className":4616,"style":856},[613],[568,4618,1135],{"className":4619},[618],[568,4621,4623,4626],{"className":4622},[618],[568,4624,805],{"className":4625,"style":863},[618,622],[568,4627,4629],{"className":4628},[627],[568,4630,4632,4652],{"className":4631},[631,632],[568,4633,4635,4649],{"className":4634},[636],[568,4636,4638],{"className":4637,"style":759},[640],[568,4639,4640,4643],{"style":878},[568,4641],{"className":4642,"style":649},[648],[568,4644,4646],{"className":4645},[653,654,655,656],[568,4647,3510],{"className":4648},[618,656],[568,4650,664],{"className":4651},[663],[568,4653,4655],{"className":4654},[636],[568,4656,4658],{"className":4657,"style":671},[640],[568,4659],{},[568,4661,1135],{"className":4662},[618],[568,4664],{"className":4665,"style":914},[913],[568,4667,1166],{"className":4668},[918],[568,4670],{"className":4671,"style":914},[913],[568,4673,4675,4679,4784,4787,4790],{"className":4674},[609],[568,4676],{"className":4677,"style":4678},[613],"height:1.415em;vertical-align:-0.345em;",[568,4680,4682,4685,4781],{"className":4681},[618],[568,4683],{"className":4684},[902,1654],[568,4686,4688],{"className":4687},[1518],[568,4689,4691,4773],{"className":4690},[631,632],[568,4692,4694,4770],{"className":4693},[636],[568,4695,4698,4712,4720],{"className":4696,"style":4697},[640],"height:1.07em;",[568,4699,4700,4703],{"style":4149},[568,4701],{"className":4702,"style":1674},[648],[568,4704,4706],{"className":4705},[653,654,655,656],[568,4707,4709],{"className":4708},[618,656],[568,4710,4599],{"className":4711},[618,656],[568,4713,4714,4717],{"style":1702},[568,4715],{"className":4716,"style":1674},[648],[568,4718],{"className":4719,"style":1710},[1709],[568,4721,4723,4726],{"style":4722},"top:-3.4461em;",[568,4724],{"className":4725,"style":1674},[648],[568,4727,4729],{"className":4728},[653,654,655,656],[568,4730,4732,4735,4741],{"className":4731},[618,656],[568,4733,727],{"className":4734},[618,656],[568,4736,4738],{"className":4737},[618,656],[568,4739,2620],{"className":4740},[2619,656],[568,4742,4744,4747],{"className":4743},[618,656],[568,4745,2624],{"className":4746},[618,656],[568,4748,4750],{"className":4749},[627],[568,4751,4753],{"className":4752},[631],[568,4754,4756],{"className":4755},[636],[568,4757,4759],{"className":4758,"style":4200},[640],[568,4760,4761,4764],{"style":4203},[568,4762],{"className":4763,"style":4207},[648],[568,4765,4767],{"className":4766},[653,4211,4212,656],[568,4768,2624],{"className":4769},[618,656],[568,4771,664],{"className":4772},[663],[568,4774,4776],{"className":4775},[636],[568,4777,4779],{"className":4778,"style":4225},[640],[568,4780],{},[568,4782],{"className":4783},[909,1654],[568,4785],{"className":4786,"style":914},[913],[568,4788,2783],{"className":4789},[918],[568,4791],{"className":4792,"style":914},[913],[568,4794,4796,4799,4802,4808],{"className":4795},[609],[568,4797],{"className":4798,"style":2891},[613],[568,4800,727],{"className":4801},[618],[568,4803,4805],{"className":4804},[618],[568,4806,2620],{"className":4807},[2619],[568,4809,4811],{"className":4810},[618],"00026",". Der echte Fehler ist etwa ",[568,4814,4816,4831],{"className":4815},[571],[568,4817,4819],{"className":4818},[575],[577,4820,4821],{"xmlns":579},[581,4822,4823,4828],{},[584,4824,4825],{},[725,4826,4827],{},"0,000259",[597,4829,4830],{"encoding":599},"0{,}000259",[568,4832,4834],{"className":4833,"ariaHidden":605},[604],[568,4835,4837,4840,4843,4849],{"className":4836},[609],[568,4838],{"className":4839,"style":2891},[613],[568,4841,727],{"className":4842},[618],[568,4844,4846],{"className":4845},[618],[568,4847,2620],{"className":4848},[2619],[568,4850,4852],{"className":4851},[618],"000259",[559,4854,4856],{"id":4855},"typische-fehler","Typische Fehler",[4858,4859,4860,5042,5378],"ul",{},[4861,4862,4863,4898,4899,4962,4963,4898,4991,2174],"li",{},[568,4864,4866,4882],{"className":4865},[571],[568,4867,4869],{"className":4868},[575],[577,4870,4871],{"xmlns":579},[581,4872,4873,4879],{},[584,4874,4875,4877],{},[590,4876,595],{},[809,4878,1536],{"stretchy":811},[597,4880,4881],{"encoding":599},"n!",[568,4883,4885],{"className":4884,"ariaHidden":605},[604],[568,4886,4888,4892,4895],{"className":4887},[609],[568,4889],{"className":4890,"style":4891},[613],"height:0.6944em;",[568,4893,595],{"className":4894},[618,622],[568,4896,1536],{"className":4897},[909]," statt ",[568,4900,4902,4926],{"className":4901},[571],[568,4903,4905],{"className":4904},[575],[577,4906,4907],{"xmlns":579},[581,4908,4909,4923],{},[584,4910,4911,4913,4915,4917,4919,4921],{},[809,4912,812],{"stretchy":811},[590,4914,595],{},[809,4916,1149],{},[725,4918,1152],{},[809,4920,817],{"stretchy":811},[809,4922,1536],{"stretchy":811},[597,4924,4925],{"encoding":599},"(n+1)!",[568,4927,4929,4950],{"className":4928,"ariaHidden":605},[604],[568,4930,4932,4935,4938,4941,4944,4947],{"className":4931},[609],[568,4933],{"className":4934,"style":856},[613],[568,4936,812],{"className":4937},[902],[568,4939,595],{"className":4940},[618,622],[568,4942],{"className":4943,"style":943},[913],[568,4945,1149],{"className":4946},[947],[568,4948],{"className":4949,"style":943},[913],[568,4951,4953,4956,4959],{"className":4952},[609],[568,4954],{"className":4955,"style":856},[613],[568,4957,1152],{"className":4958},[618],[568,4960,1699],{"className":4961},[909]," im Nenner schreiben, oder den Exponenten ",[568,4964,4966,4979],{"className":4965},[571],[568,4967,4969],{"className":4968},[575],[577,4970,4971],{"xmlns":579},[581,4972,4973,4977],{},[584,4974,4975],{},[590,4976,595],{},[597,4978,595],{"encoding":599},[568,4980,4982],{"className":4981,"ariaHidden":605},[604],[568,4983,4985,4988],{"className":4984},[609],[568,4986],{"className":4987,"style":1476},[613],[568,4989,595],{"className":4990},[618,622],[568,4992,4994,5012],{"className":4993},[571],[568,4995,4997],{"className":4996},[575],[577,4998,4999],{"xmlns":579},[581,5000,5001,5009],{},[584,5002,5003,5005,5007],{},[590,5004,595],{},[809,5006,1149],{},[725,5008,1152],{},[597,5010,5011],{"encoding":599},"n + 1",[568,5013,5015,5033],{"className":5014,"ariaHidden":605},[604],[568,5016,5018,5021,5024,5027,5030],{"className":5017},[609],[568,5019],{"className":5020,"style":4108},[613],[568,5022,595],{"className":5023},[618,622],[568,5025],{"className":5026,"style":943},[913],[568,5028,1149],{"className":5029},[947],[568,5031],{"className":5032,"style":943},[913],[568,5034,5036,5039],{"className":5035},[609],[568,5037],{"className":5038,"style":1895},[613],[568,5040,1152],{"className":5041},[618],[4861,5043,5044,5045,5114,5115,5280,5281,1450,5350,2174],{},"Die Ableitung an ",[568,5046,5048,5065],{"className":5047},[571],[568,5049,5051],{"className":5050},[575],[577,5052,5053],{"xmlns":579},[581,5054,5055,5063],{},[584,5056,5057],{},[587,5058,5059,5061],{},[590,5060,723],{},[725,5062,727],{},[597,5064,730],{"encoding":599},[568,5066,5068],{"className":5067,"ariaHidden":605},[604],[568,5069,5071,5074],{"className":5070},[609],[568,5072],{"className":5073,"style":740},[613],[568,5075,5077,5080],{"className":5076},[618],[568,5078,723],{"className":5079},[618,622],[568,5081,5083],{"className":5082},[627],[568,5084,5086,5106],{"className":5085},[631,632],[568,5087,5089,5103],{"className":5088},[636],[568,5090,5092],{"className":5091,"style":759},[640],[568,5093,5094,5097],{"style":762},[568,5095],{"className":5096,"style":649},[648],[568,5098,5100],{"className":5099},[653,654,655,656],[568,5101,727],{"className":5102},[618,656],[568,5104,664],{"className":5105},[663],[568,5107,5109],{"className":5108},[636],[568,5110,5112],{"className":5111,"style":671},[640],[568,5113],{}," statt an der Zwischenstelle auswerten. Für eine sichere Schranke braucht man das Maximum von ",[568,5116,5118,5150],{"className":5117},[571],[568,5119,5121],{"className":5120},[575],[577,5122,5123],{"xmlns":579},[581,5124,5125,5147],{},[584,5126,5127,5129,5145],{},[809,5128,1135],{"fence":605},[1137,5130,5131,5133],{},[590,5132,689],{},[584,5134,5135,5137,5139,5141,5143],{},[809,5136,812],{"stretchy":811},[590,5138,595],{},[809,5140,1149],{},[725,5142,1152],{},[809,5144,817],{"stretchy":811},[809,5146,1135],{"fence":605},[597,5148,5149],{"encoding":599},"\\left|f^{(n+1)}\\right|",[568,5151,5153],{"className":5152,"ariaHidden":605},[604],[568,5154,5156,5159],{"className":5155},[609],[568,5157],{"className":5158,"style":1182},[613],[568,5160,5162,5199,5243],{"className":5161},[1186],[568,5163,5165],{"className":5164},[902],[568,5166,5168],{"className":5167},[1193,1194],[568,5169,5171,5191],{"className":5170},[631,632],[568,5172,5174,5188],{"className":5173},[636],[568,5175,5177],{"className":5176,"style":1204},[640],[568,5178,5179,5182],{"style":1207},[568,5180],{"className":5181,"style":1211},[648],[568,5183,5184],{"style":1214},[1216,5185,5186],{"xmlns":1218,"width":1219,"height":1220,"viewBox":1221},[1223,5187],{"d":1225},[568,5189,664],{"className":5190},[663],[568,5192,5194],{"className":5193},[636],[568,5195,5197],{"className":5196,"style":1235},[640],[568,5198],{},[568,5200,5202,5205],{"className":5201},[618],[568,5203,689],{"className":5204,"style":705},[618,622],[568,5206,5208],{"className":5207},[627],[568,5209,5211],{"className":5210},[631],[568,5212,5214],{"className":5213},[636],[568,5215,5217],{"className":5216,"style":1256},[640],[568,5218,5219,5222],{"style":1259},[568,5220],{"className":5221,"style":649},[648],[568,5223,5225],{"className":5224},[653,654,655,656],[568,5226,5228,5231,5234,5237,5240],{"className":5227},[618,656],[568,5229,812],{"className":5230},[902,656],[568,5232,595],{"className":5233},[618,622,656],[568,5235,1149],{"className":5236},[947,656],[568,5238,1152],{"className":5239},[618,656],[568,5241,817],{"className":5242},[909,656],[568,5244,5246],{"className":5245},[909],[568,5247,5249],{"className":5248},[1193,1194],[568,5250,5252,5272],{"className":5251},[631,632],[568,5253,5255,5269],{"className":5254},[636],[568,5256,5258],{"className":5257,"style":1204},[640],[568,5259,5260,5263],{"style":1207},[568,5261],{"className":5262,"style":1211},[648],[568,5264,5265],{"style":1214},[1216,5266,5267],{"xmlns":1218,"width":1219,"height":1220,"viewBox":1221},[1223,5268],{"d":1225},[568,5270,664],{"className":5271},[663],[568,5273,5275],{"className":5274},[636],[568,5276,5278],{"className":5277,"style":1235},[640],[568,5279],{}," auf dem ganzen Intervall zwischen ",[568,5282,5284,5301],{"className":5283},[571],[568,5285,5287],{"className":5286},[575],[577,5288,5289],{"xmlns":579},[581,5290,5291,5299],{},[584,5292,5293],{},[587,5294,5295,5297],{},[590,5296,723],{},[725,5298,727],{},[597,5300,730],{"encoding":599},[568,5302,5304],{"className":5303,"ariaHidden":605},[604],[568,5305,5307,5310],{"className":5306},[609],[568,5308],{"className":5309,"style":740},[613],[568,5311,5313,5316],{"className":5312},[618],[568,5314,723],{"className":5315},[618,622],[568,5317,5319],{"className":5318},[627],[568,5320,5322,5342],{"className":5321},[631,632],[568,5323,5325,5339],{"className":5324},[636],[568,5326,5328],{"className":5327,"style":759},[640],[568,5329,5330,5333],{"style":762},[568,5331],{"className":5332,"style":649},[648],[568,5334,5336],{"className":5335},[653,654,655,656],[568,5337,727],{"className":5338},[618,656],[568,5340,664],{"className":5341},[663],[568,5343,5345],{"className":5344},[636],[568,5346,5348],{"className":5347,"style":671},[640],[568,5349],{},[568,5351,5353,5366],{"className":5352},[571],[568,5354,5356],{"className":5355},[575],[577,5357,5358],{"xmlns":579},[581,5359,5360,5364],{},[584,5361,5362],{},[590,5363,723],{},[597,5365,723],{"encoding":599},[568,5367,5369],{"className":5368,"ariaHidden":605},[604],[568,5370,5372,5375],{"className":5371},[609],[568,5373],{"className":5374,"style":1476},[613],[568,5376,723],{"className":5377},[618,622],[4861,5379,1846,5380,5450,5451,5532,5533,5603,5604,5644,5645,2174],{},[568,5381,5383,5400],{"className":5382},[571],[568,5384,5386],{"className":5385},[575],[577,5387,5388],{"xmlns":579},[581,5389,5390,5398],{},[584,5391,5392],{},[1137,5393,5394,5396],{},[590,5395,2385],{},[725,5397,2567],{},[597,5399,2570],{"encoding":599},[568,5401,5403],{"className":5402,"ariaHidden":605},[604],[568,5404,5406,5409],{"className":5405},[609],[568,5407],{"className":5408,"style":2580},[613],[568,5410,5412,5415],{"className":5411},[618],[568,5413,2385],{"className":5414},[618,622],[568,5416,5418],{"className":5417},[627],[568,5419,5421],{"className":5420},[631],[568,5422,5424],{"className":5423},[636],[568,5425,5427],{"className":5426,"style":2580},[640],[568,5428,5429,5432],{"style":1259},[568,5430],{"className":5431,"style":649},[648],[568,5433,5435],{"className":5434},[653,654,655,656],[568,5436,5438,5441,5447],{"className":5437},[618,656],[568,5439,727],{"className":5440},[618,656],[568,5442,5444],{"className":5443},[618,656],[568,5445,2620],{"className":5446},[2619,656],[568,5448,2624],{"className":5449},[618,656]," die Schranke mit ",[568,5452,5454,5476],{"className":5453},[571],[568,5455,5457],{"className":5456},[575],[577,5458,5459],{"xmlns":579},[581,5460,5461,5473],{},[584,5462,5463,5469,5471],{},[1137,5464,5465,5467],{},[590,5466,2385],{},[725,5468,727],{},[809,5470,820],{},[725,5472,1152],{},[597,5474,5475],{"encoding":599},"e^0 = 1",[568,5477,5479,5523],{"className":5478,"ariaHidden":605},[604],[568,5480,5482,5485,5514,5517,5520],{"className":5481},[609],[568,5483],{"className":5484,"style":2580},[613],[568,5486,5488,5491],{"className":5487},[618],[568,5489,2385],{"className":5490},[618,622],[568,5492,5494],{"className":5493},[627],[568,5495,5497],{"className":5496},[631],[568,5498,5500],{"className":5499},[636],[568,5501,5503],{"className":5502,"style":2580},[640],[568,5504,5505,5508],{"style":1259},[568,5506],{"className":5507,"style":649},[648],[568,5509,5511],{"className":5510},[653,654,655,656],[568,5512,727],{"className":5513},[618,656],[568,5515],{"className":5516,"style":914},[913],[568,5518,820],{"className":5519},[918],[568,5521],{"className":5522,"style":914},[913],[568,5524,5526,5529],{"className":5525},[609],[568,5527],{"className":5528,"style":1895},[613],[568,5530,1152],{"className":5531},[618]," statt mit dem Maximum ",[568,5534,5536,5553],{"className":5535},[571],[568,5537,5539],{"className":5538},[575],[577,5540,5541],{"xmlns":579},[581,5542,5543,5551],{},[584,5544,5545],{},[1137,5546,5547,5549],{},[590,5548,2385],{},[725,5550,2567],{},[597,5552,2570],{"encoding":599},[568,5554,5556],{"className":5555,"ariaHidden":605},[604],[568,5557,5559,5562],{"className":5558},[609],[568,5560],{"className":5561,"style":2580},[613],[568,5563,5565,5568],{"className":5564},[618],[568,5566,2385],{"className":5567},[618,622],[568,5569,5571],{"className":5570},[627],[568,5572,5574],{"className":5573},[631],[568,5575,5577],{"className":5576},[636],[568,5578,5580],{"className":5579,"style":2580},[640],[568,5581,5582,5585],{"style":1259},[568,5583],{"className":5584,"style":649},[648],[568,5586,5588],{"className":5587},[653,654,655,656],[568,5589,5591,5594,5600],{"className":5590},[618,656],[568,5592,727],{"className":5593},[618,656],[568,5595,5597],{"className":5596},[618,656],[568,5598,2620],{"className":5599},[2619,656],[568,5601,2624],{"className":5602},[618,656]," rechnen. Das ergäbe ",[568,5605,5607,5622],{"className":5606},[571],[568,5608,5610],{"className":5609},[575],[577,5611,5612],{"xmlns":579},[581,5613,5614,5619],{},[584,5615,5616],{},[725,5617,5618],{},"0,0026",[597,5620,5621],{"encoding":599},"0{,}0026",[568,5623,5625],{"className":5624,"ariaHidden":605},[604],[568,5626,5628,5631,5634,5640],{"className":5627},[609],[568,5629],{"className":5630,"style":2891},[613],[568,5632,727],{"className":5633},[618],[568,5635,5637],{"className":5636},[618],[568,5638,2620],{"className":5639},[2619],[568,5641,5643],{"className":5642},[618],"0026"," und läge unter dem echten Fehler ",[568,5646,5648,5662],{"className":5647},[571],[568,5649,5651],{"className":5650},[575],[577,5652,5653],{"xmlns":579},[581,5654,5655,5659],{},[584,5656,5657],{},[725,5658,3801],{},[597,5660,5661],{"encoding":599},"0{,}0029",[568,5663,5665],{"className":5664,"ariaHidden":605},[604],[568,5666,5668,5671,5674,5680],{"className":5667},[609],[568,5669],{"className":5670,"style":2891},[613],[568,5672,727],{"className":5673},[618],[568,5675,5677],{"className":5676},[618],[568,5678,2620],{"className":5679},[2619],[568,5681,4011],{"className":5682},[618],{"title":5684,"searchDepth":5685,"depth":5685,"links":5686},"",2,[5687,5688,5689],{"id":561,"depth":5685,"text":562},{"id":2545,"depth":5685,"text":2546},{"id":4855,"depth":5685,"text":4856},[5691,5694,5697,5700,5703,5706,5709,5712,5715],{"lhs":5692,"rhs":5693},"1 + 0.5 + 0.5^2\u002F2 + 0.5^3\u002F6","1.6458333333333333",{"lhs":5695,"rhs":5696},"round(1 + 0.5 + 0.5^2\u002F2 + 0.5^3\u002F6, 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class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1076em;\">f\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">auf einem Intervall\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>I\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">I\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">I\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">mit\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x_0,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.625em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan style=\"white-space: nowrap\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>x\u003C\u002Fmi>\u003Cmo>∈\u003C\u002Fmo>\u003Cmi>I\u003C\u002Fmi>\u003Cmtext> \u003C\u002Fmtext>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>+\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x \\in I \\ (n+1)\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.5782em;vertical-align:-0.0391em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">∈\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">I\u003C\u002Fspan>\u003Cspan class=\"mspace\"> \u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">+\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">1\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex\">-mal\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan style=\"white-space: nowrap\">\u003Cspan class=\"katex\">differenzierbar\u003C\u002Fspan>\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.3em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>ξ\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation 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style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose\">\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8641em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003Cspan class=\"mbin mtight\">+\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","university",{},"\u002Fde\u002Fformulas\u002Fmath\u002Fcalculus\u002Frestglied-nach-lagrange",[],[5780,5781,5782,5783],"taylor-polynomial","taylor-series","mean-value-theorem","exponential-series",{"title":548,"description":5684},"de\u002Fformulas\u002Fmath\u002Fcalculus\u002Frestglied-nach-lagrange","Der Fehler des Taylorpolynoms vom Grad n ist die (n+1)-te Ableitung an einer Zwischenstelle mal (x − x₀)ⁿ⁺¹\u002F(n+1)!.",[5788,5789,5790,5791],"taylorpolynom","restglied","fehlerabschätzung","näherung",[5793,5797,5801,5805,5808,5811,5814],{"symbol":5794,"meaning":5795,"symbolHtml":5796},"R_n(x)","Restglied, also der Fehler des Taylorpolynoms an der Stelle x","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath 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style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":5798,"meaning":5799,"symbolHtml":5800},"T_n(x)","Taylorpolynom n-ten Grades von f um x₀","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath 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style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":5802,"meaning":5803,"symbolHtml":5804},"f^{(n+1)}","(n+1)-te Ableitung von f","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsup>\u003Cmi>f\u003C\u002Fmi>\u003Cmrow>\u003Cmo 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mtight\">\u003Cspan class=\"mopen mtight\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003Cspan class=\"mbin mtight\">+\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003Cspan class=\"mclose mtight\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":730,"meaning":5806,"symbolHtml":5807},"Entwicklungsstelle","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x_0\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan 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style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":723,"meaning":5809,"symbolHtml":5810},"Stelle, an der genähert wird","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>x\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":1027,"meaning":5812,"symbolHtml":5813},"unbekannte Zwischenstelle zwischen x₀ und x","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>ξ\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\xi\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.046em;\">ξ\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":595,"meaning":5815,"symbolHtml":5816},"Grad des Taylorpolynoms","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">n\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","Rk9tRVgDzdKaz9lQkMrgdgYXLFUQzNbJAvTe4TB7KrE",[5819,5822,5825,5828],{"stem":5820,"title":5821,"category":101},"de\u002Fformulas\u002Fmath\u002Fcalculus\u002Fmittelwertsatz-differentialrechnung","Mittelwertsatz der 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