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Konstante.",[979,1157,1158,1522,1523,1526],{},[572,1159,1161,1238],{"className":1160},[575],[572,1162,1164],{"className":1163},[579],[581,1165,1166],{"xmlns":583},[585,1167,1168,1235],{},[588,1169,1170,1177,1179,1181,1183,1185,1187,1189,1195,1197,1200,1210,1212,1218,1220,1222,1224,1227,1233],{},[591,1171,1172,1174],{},[594,1173,596],{},[727,1175,1176],{},"1",[1000,1178,1003],{"stretchy":1002},[594,1180,725],{},[1000,1182,1008],{"stretchy":1002},[1000,1184,1011],{},[594,1186,829],{},[1000,1188,1003],{"stretchy":1002},[591,1190,1191,1193],{},[594,1192,725],{},[727,1194,729],{},[1000,1196,1008],{"stretchy":1002},[1000,1198,1199],{},"+",[1201,1202,1203,1205],"msup",{},[594,1204,829],{},[1000,1206,1209],{"mathvariant":1207,"lspace":1208,"rspace":1208},"normal","0em","′",[1000,1211,1003],{"stretchy":1002},[591,1213,1214,1216],{},[594,1215,725],{},[727,1217,729],{},[1000,1219,1008],{"stretchy":1002},[1000,1221,1003],{"stretchy":1002},[594,1223,725],{},[1000,1225,1226],{},"−",[591,1228,1229,1231],{},[594,1230,725],{},[727,1232,729],{},[1000,1234,1008],{"stretchy":1002},[601,1236,1237],{"encoding":603},"T_1(x) = f(x_0) + f'(x_0)(x - x_0)",[572,1239,1241,1305,1371,1473],{"className":1240,"ariaHidden":609},[608],[572,1242,1244,1247,1287,1290,1293,1296,1299,1302],{"className":1243},[613],[572,1245],{"className":1246,"style":1036},[617],[572,1248,1250,1253],{"className":1249},[622],[572,1251,596],{"className":1252,"style":627},[622,626],[572,1254,1256],{"className":1255},[631],[572,1257,1259,1279],{"className":1258},[635,636],[572,1260,1262,1276],{"className":1261},[640],[572,1263,1265],{"className":1264,"style":761},[644],[572,1266,1267,1270],{"style":648},[572,1268],{"className":1269,"style":653},[652],[572,1271,1273],{"className":1272},[657,658,659,660],[572,1274,1176],{"className":1275},[622,660],[572,1277,668],{"className":1278},[667],[572,1280,1282],{"className":1281},[640],[572,1283,1285],{"className":1284,"style":675},[644],[572,1286],{},[572,1288,1003],{"className":1289},[1080],[572,1291,725],{"className":1292},[622,626],[572,1294,1008],{"className":1295},[1087],[572,1297],{"className":1298,"style":1092},[1091],[572,1300,1011],{"className":1301},[1096],[572,1303],{"className":1304,"style":1092},[1091],[572,1306,1308,1311,1314,1317,1357,1360,1364,1368],{"className":1307},[613],[572,1309],{"className":1310,"style":1036},[617],[572,1312,829],{"className":1313,"style":845},[622,626],[572,1315,1003],{"className":1316},[1080],[572,1318,1320,1323],{"className":1319},[622],[572,1321,725],{"className":1322},[622,626],[572,1324,1326],{"className":1325},[631],[572,1327,1329,1349],{"className":1328},[635,636],[572,1330,1332,1346],{"className":1331},[640],[572,1333,1335],{"className":1334,"style":761},[644],[572,1336,1337,1340],{"style":764},[572,1338],{"className":1339,"style":653},[652],[572,1341,1343],{"className":1342},[657,658,659,660],[572,1344,729],{"className":1345},[622,660],[572,1347,668],{"className":1348},[667],[572,1350,1352],{"className":1351},[640],[572,1353,1355],{"className":1354,"style":675},[644],[572,1356],{},[572,1358,1008],{"className":1359},[1087],[572,1361],{"className":1362,"style":1363},[1091],"margin-right:0.2222em;",[572,1365,1199],{"className":1366},[1367],"mbin",[572,1369],{"className":1370,"style":1363},[1091],[572,1372,1374,1378,1412,1415,1455,1458,1461,1464,1467,1470],{"className":1373},[613],[572,1375],{"className":1376,"style":1377},[617],"height:1.0019em;vertical-align:-0.25em;",[572,1379,1381,1384],{"className":1380},[622],[572,1382,829],{"className":1383,"style":845},[622,626],[572,1385,1387],{"className":1386},[631],[572,1388,1390],{"className":1389},[635],[572,1391,1393],{"className":1392},[640],[572,1394,1397],{"className":1395,"style":1396},[644],"height:0.7519em;",[572,1398,1400,1403],{"style":1399},"top:-3.063em;margin-right:0.05em;",[572,1401],{"className":1402,"style":653},[652],[572,1404,1406],{"className":1405},[657,658,659,660],[572,1407,1409],{"className":1408},[622,660],[572,1410,1209],{"className":1411},[622,660],[572,1413,1003],{"className":1414},[1080],[572,1416,1418,1421],{"className":1417},[622],[572,1419,725],{"className":1420},[622,626],[572,1422,1424],{"className":1423},[631],[572,1425,1427,1447],{"className":1426},[635,636],[572,1428,1430,1444],{"className":1429},[640],[572,1431,1433],{"className":1432,"style":761},[644],[572,1434,1435,1438],{"style":764},[572,1436],{"className":1437,"style":653},[652],[572,1439,1441],{"className":1440},[657,658,659,660],[572,1442,729],{"className":1443},[622,660],[572,1445,668],{"className":1446},[667],[572,1448,1450],{"className":1449},[640],[572,1451,1453],{"className":1452,"style":675},[644],[572,1454],{},[572,1456,1008],{"className":1457},[1087],[572,1459,1003],{"className":1460},[1080],[572,1462,725],{"className":1463},[622,626],[572,1465],{"className":1466,"style":1363},[1091],[572,1468,1226],{"className":1469},[1367],[572,1471],{"className":1472,"style":1363},[1091],[572,1474,1476,1479,1519],{"className":1475},[613],[572,1477],{"className":1478,"style":1036},[617],[572,1480,1482,1485],{"className":1481},[622],[572,1483,725],{"className":1484},[622,626],[572,1486,1488],{"className":1487},[631],[572,1489,1491,1511],{"className":1490},[635,636],[572,1492,1494,1508],{"className":1493},[640],[572,1495,1497],{"className":1496,"style":761},[644],[572,1498,1499,1502],{"style":764},[572,1500],{"className":1501,"style":653},[652],[572,1503,1505],{"className":1504},[657,658,659,660],[572,1506,729],{"className":1507},[622,660],[572,1509,668],{"className":1510},[667],[572,1512,1514],{"className":1513},[640],[572,1515,1517],{"className":1516,"style":675},[644],[572,1518],{},[572,1520,1008],{"className":1521},[1087]," ist die ",[568,1524,1525],{},"Tangente",".",[979,1528,1529,1600],{},[572,1530,1532,1551],{"className":1531},[575],[572,1533,1535],{"className":1534},[579],[581,1536,1537],{"xmlns":583},[585,1538,1539,1548],{},[588,1540,1541],{},[591,1542,1543,1545],{},[594,1544,596],{},[727,1546,1547],{},"2",[601,1549,1550],{"encoding":603},"T_2",[572,1552,1554],{"className":1553,"ariaHidden":609},[608],[572,1555,1557,1560],{"className":1556},[613],[572,1558],{"className":1559,"style":618},[617],[572,1561,1563,1566],{"className":1562},[622],[572,1564,596],{"className":1565,"style":627},[622,626],[572,1567,1569],{"className":1568},[631],[572,1570,1572,1592],{"className":1571},[635,636],[572,1573,1575,1589],{"className":1574},[640],[572,1576,1578],{"className":1577,"style":761},[644],[572,1579,1580,1583],{"style":648},[572,1581],{"className":1582,"style":653},[652],[572,1584,1586],{"className":1585},[657,658,659,660],[572,1587,1547],{"className":1588},[622,660],[572,1590,668],{"className":1591},[667],[572,1593,1595],{"className":1594},[640],[572,1596,1598],{"className":1597,"style":675},[644],[572,1599],{}," ist eine Parabel, die zusätzlich die Krümmung übernimmt.",[564,1602,1603,1604,1697,1698,1526],{},"Für ",[572,1605,1607,1629],{"className":1606},[575],[572,1608,1610],{"className":1609},[579],[581,1611,1612],{"xmlns":583},[585,1613,1614,1626],{},[588,1615,1616,1622,1624],{},[591,1617,1618,1620],{},[594,1619,725],{},[727,1621,729],{},[1000,1623,1011],{},[727,1625,729],{},[601,1627,1628],{"encoding":603},"x_0 = 0",[572,1630,1632,1687],{"className":1631,"ariaHidden":609},[608],[572,1633,1635,1638,1678,1681,1684],{"className":1634},[613],[572,1636],{"className":1637,"style":742},[617],[572,1639,1641,1644],{"className":1640},[622],[572,1642,725],{"className":1643},[622,626],[572,1645,1647],{"className":1646},[631],[572,1648,1650,1670],{"className":1649},[635,636],[572,1651,1653,1667],{"className":1652},[640],[572,1654,1656],{"className":1655,"style":761},[644],[572,1657,1658,1661],{"style":764},[572,1659],{"className":1660,"style":653},[652],[572,1662,1664],{"className":1663},[657,658,659,660],[572,1665,729],{"className":1666},[622,660],[572,1668,668],{"className":1669},[667],[572,1671,1673],{"className":1672},[640],[572,1674,1676],{"className":1675,"style":675},[644],[572,1677],{},[572,1679],{"className":1680,"style":1092},[1091],[572,1682,1011],{"className":1683},[1096],[572,1685],{"className":1686,"style":1092},[1091],[572,1688,1690,1694],{"className":1689},[613],[572,1691],{"className":1692,"style":1693},[617],"height:0.6444em;",[572,1695,729],{"className":1696},[622]," spricht man auch vom ",[568,1699,553],{},[564,1701,1702,1703,570,1706,1909,1910,1938,1939,2008,2009,2037,2038,2099,2100,2131,2132,2008,2201,2229],{},"Den Fehler beschreibt das ",[568,1704,1705],{},"Restglied",[572,1707,1709,1758],{"className":1708},[575],[572,1710,1712],{"className":1711},[579],[581,1713,1714],{"xmlns":583},[585,1715,1716,1755],{},[588,1717,1718,1725,1727,1729,1731,1733,1735,1737,1739,1741,1743,1749,1751,1753],{},[591,1719,1720,1723],{},[594,1721,1722],{},"R",[594,1724,599],{},[1000,1726,1003],{"stretchy":1002},[594,1728,725],{},[1000,1730,1008],{"stretchy":1002},[1000,1732,1011],{},[594,1734,829],{},[1000,1736,1003],{"stretchy":1002},[594,1738,725],{},[1000,1740,1008],{"stretchy":1002},[1000,1742,1226],{},[591,1744,1745,1747],{},[594,1746,596],{},[594,1748,599],{},[1000,1750,1003],{"stretchy":1002},[594,1752,725],{},[1000,1754,1008],{"stretchy":1002},[601,1756,1757],{"encoding":603},"R_n(x) = f(x) - T_n(x)",[572,1759,1761,1827,1854],{"className":1760,"ariaHidden":609},[608],[572,1762,1764,1767,1809,1812,1815,1818,1821,1824],{"className":1763},[613],[572,1765],{"className":1766,"style":1036},[617],[572,1768,1770,1774],{"className":1769},[622],[572,1771,1722],{"className":1772,"style":1773},[622,626],"margin-right:0.0077em;",[572,1775,1777],{"className":1776},[631],[572,1778,1780,1801],{"className":1779},[635,636],[572,1781,1783,1798],{"className":1782},[640],[572,1784,1786],{"className":1785,"style":645},[644],[572,1787,1789,1792],{"style":1788},"top:-2.55em;margin-left:-0.0077em;margin-right:0.05em;",[572,1790],{"className":1791,"style":653},[652],[572,1793,1795],{"className":1794},[657,658,659,660],[572,1796,599],{"className":1797},[622,626,660],[572,1799,668],{"className":1800},[667],[572,1802,1804],{"className":1803},[640],[572,1805,1807],{"className":1806,"style":675},[644],[572,1808],{},[572,1810,1003],{"className":1811},[1080],[572,1813,725],{"className":1814},[622,626],[572,1816,1008],{"className":1817},[1087],[572,1819],{"className":1820,"style":1092},[1091],[572,1822,1011],{"className":1823},[1096],[572,1825],{"className":1826,"style":1092},[1091],[572,1828,1830,1833,1836,1839,1842,1845,1848,1851],{"className":1829},[613],[572,1831],{"className":1832,"style":1036},[617],[572,1834,829],{"className":1835,"style":845},[622,626],[572,1837,1003],{"className":1838},[1080],[572,1840,725],{"className":1841},[622,626],[572,1843,1008],{"className":1844},[1087],[572,1846],{"className":1847,"style":1363},[1091],[572,1849,1226],{"className":1850},[1367],[572,1852],{"className":1853,"style":1363},[1091],[572,1855,1857,1860,1900,1903,1906],{"className":1856},[613],[572,1858],{"className":1859,"style":1036},[617],[572,1861,1863,1866],{"className":1862},[622],[572,1864,596],{"className":1865,"style":627},[622,626],[572,1867,1869],{"className":1868},[631],[572,1870,1872,1892],{"className":1871},[635,636],[572,1873,1875,1889],{"className":1874},[640],[572,1876,1878],{"className":1877,"style":645},[644],[572,1879,1880,1883],{"style":648},[572,1881],{"className":1882,"style":653},[652],[572,1884,1886],{"className":1885},[657,658,659,660],[572,1887,599],{"className":1888},[622,626,660],[572,1890,668],{"className":1891},[667],[572,1893,1895],{"className":1894},[640],[572,1896,1898],{"className":1897,"style":675},[644],[572,1899],{},[572,1901,1003],{"className":1902},[1080],[572,1904,725],{"className":1905},[622,626],[572,1907,1008],{"className":1908},[1087],". Ist ",[572,1911,1913,1926],{"className":1912},[575],[572,1914,1916],{"className":1915},[579],[581,1917,1918],{"xmlns":583},[585,1919,1920,1924],{},[588,1921,1922],{},[594,1923,829],{},[601,1925,829],{"encoding":603},[572,1927,1929],{"className":1928,"ariaHidden":609},[608],[572,1930,1932,1935],{"className":1931},[613],[572,1933],{"className":1934,"style":841},[617],[572,1936,829],{"className":1937,"style":845},[622,626]," auf dem Intervall zwischen ",[572,1940,1942,1959],{"className":1941},[575],[572,1943,1945],{"className":1944},[579],[581,1946,1947],{"xmlns":583},[585,1948,1949,1957],{},[588,1950,1951],{},[591,1952,1953,1955],{},[594,1954,725],{},[727,1956,729],{},[601,1958,732],{"encoding":603},[572,1960,1962],{"className":1961,"ariaHidden":609},[608],[572,1963,1965,1968],{"className":1964},[613],[572,1966],{"className":1967,"style":742},[617],[572,1969,1971,1974],{"className":1970},[622],[572,1972,725],{"className":1973},[622,626],[572,1975,1977],{"className":1976},[631],[572,1978,1980,2000],{"className":1979},[635,636],[572,1981,1983,1997],{"className":1982},[640],[572,1984,1986],{"className":1985,"style":761},[644],[572,1987,1988,1991],{"style":764},[572,1989],{"className":1990,"style":653},[652],[572,1992,1994],{"className":1993},[657,658,659,660],[572,1995,729],{"className":1996},[622,660],[572,1998,668],{"className":1999},[667],[572,2001,2003],{"className":2002},[640],[572,2004,2006],{"className":2005,"style":675},[644],[572,2007],{}," und ",[572,2010,2012,2025],{"className":2011},[575],[572,2013,2015],{"className":2014},[579],[581,2016,2017],{"xmlns":583},[585,2018,2019,2023],{},[588,2020,2021],{},[594,2022,725],{},[601,2024,725],{"encoding":603},[572,2026,2028],{"className":2027,"ariaHidden":609},[608],[572,2029,2031,2034],{"className":2030},[613],[572,2032],{"className":2033,"style":704},[617],[572,2035,725],{"className":2036},[622,626]," sogar ",[572,2039,2041,2063],{"className":2040},[575],[572,2042,2044],{"className":2043},[579],[581,2045,2046],{"xmlns":583},[585,2047,2048,2060],{},[588,2049,2050,2052,2054,2056,2058],{},[1000,2051,1003],{"stretchy":1002},[594,2053,599],{},[1000,2055,1199],{},[727,2057,1176],{},[1000,2059,1008],{"stretchy":1002},[601,2061,2062],{"encoding":603},"(n+1)",[572,2064,2066,2087],{"className":2065,"ariaHidden":609},[608],[572,2067,2069,2072,2075,2078,2081,2084],{"className":2068},[613],[572,2070],{"className":2071,"style":1036},[617],[572,2073,1003],{"className":2074},[1080],[572,2076,599],{"className":2077},[622,626],[572,2079],{"className":2080,"style":1363},[1091],[572,2082,1199],{"className":2083},[1367],[572,2085],{"className":2086,"style":1363},[1091],[572,2088,2090,2093,2096],{"className":2089},[613],[572,2091],{"className":2092,"style":1036},[617],[572,2094,1176],{"className":2095},[622],[572,2097,1008],{"className":2098},[1087],"-mal differenzierbar, gibt es nach Lagrange ein ",[572,2101,2103,2118],{"className":2102},[575],[572,2104,2106],{"className":2105},[579],[581,2107,2108],{"xmlns":583},[585,2109,2110,2115],{},[588,2111,2112],{},[594,2113,2114],{},"ξ",[601,2116,2117],{"encoding":603},"\\xi",[572,2119,2121],{"className":2120,"ariaHidden":609},[608],[572,2122,2124,2127],{"className":2123},[613],[572,2125],{"className":2126,"style":841},[617],[572,2128,2114],{"className":2129,"style":2130},[622,626],"margin-right:0.046em;"," zwischen ",[572,2133,2135,2152],{"className":2134},[575],[572,2136,2138],{"className":2137},[579],[581,2139,2140],{"xmlns":583},[585,2141,2142,2150],{},[588,2143,2144],{},[591,2145,2146,2148],{},[594,2147,725],{},[727,2149,729],{},[601,2151,732],{"encoding":603},[572,2153,2155],{"className":2154,"ariaHidden":609},[608],[572,2156,2158,2161],{"className":2157},[613],[572,2159],{"className":2160,"style":742},[617],[572,2162,2164,2167],{"className":2163},[622],[572,2165,725],{"className":2166},[622,626],[572,2168,2170],{"className":2169},[631],[572,2171,2173,2193],{"className":2172},[635,636],[572,2174,2176,2190],{"className":2175},[640],[572,2177,2179],{"className":2178,"style":761},[644],[572,2180,2181,2184],{"style":764},[572,2182],{"className":2183,"style":653},[652],[572,2185,2187],{"className":2186},[657,658,659,660],[572,2188,729],{"className":2189},[622,660],[572,2191,668],{"className":2192},[667],[572,2194,2196],{"className":2195},[640],[572,2197,2199],{"className":2198,"style":675},[644],[572,2200],{},[572,2202,2204,2217],{"className":2203},[575],[572,2205,2207],{"className":2206},[579],[581,2208,2209],{"xmlns":583},[585,2210,2211,2215],{},[588,2212,2213],{},[594,2214,725],{},[601,2216,725],{"encoding":603},[572,2218,2220],{"className":2219,"ariaHidden":609},[608],[572,2221,2223,2226],{"className":2222},[613],[572,2224],{"className":2225,"style":704},[617],[572,2227,725],{"className":2228},[622,626]," mit",[572,2231,2234],{"className":2232},[2233],"katex-display",[572,2235,2237,2334],{"className":2236},[575],[572,2238,2240],{"className":2239},[579],[581,2241,2243],{"xmlns":583,"display":2242},"block",[585,2244,2245,2331],{},[588,2246,2247,2253,2255,2257,2259,2261,2303,2307,2309,2311,2313,2319],{},[591,2248,2249,2251],{},[594,2250,1722],{},[594,2252,599],{},[1000,2254,1003],{"stretchy":1002},[594,2256,725],{},[1000,2258,1008],{"stretchy":1002},[1000,2260,1011],{},[2262,2263,2264,2288],"mfrac",{},[588,2265,2266,2282,2284,2286],{},[1201,2267,2268,2270],{},[594,2269,829],{},[588,2271,2272,2274,2276,2278,2280],{},[1000,2273,1003],{"stretchy":1002},[594,2275,599],{},[1000,2277,1199],{},[727,2279,1176],{},[1000,2281,1008],{"stretchy":1002},[1000,2283,1003],{"stretchy":1002},[594,2285,2114],{},[1000,2287,1008],{"stretchy":1002},[588,2289,2290,2292,2294,2296,2298,2300],{},[1000,2291,1003],{"stretchy":1002},[594,2293,599],{},[1000,2295,1199],{},[727,2297,1176],{},[1000,2299,1008],{"stretchy":1002},[1000,2301,2302],{"stretchy":1002},"!",[2304,2305,2306],"mtext",{}," ",[1000,2308,1003],{"stretchy":1002},[594,2310,725],{},[1000,2312,1226],{},[591,2314,2315,2317],{},[594,2316,725],{},[727,2318,729],{},[1201,2320,2321,2323],{},[1000,2322,1008],{"stretchy":1002},[588,2324,2325,2327,2329],{},[594,2326,599],{},[1000,2328,1199],{},[727,2330,1176],{},[601,2332,2333],{"encoding":603},"R_n(x) = \\frac{f^{(n+1)}(\\xi)}{(n+1)!} \\, (x - x_0)^{n+1}",[572,2335,2337,2401,2568],{"className":2336,"ariaHidden":609},[608],[572,2338,2340,2343,2383,2386,2389,2392,2395,2398],{"className":2339},[613],[572,2341],{"className":2342,"style":1036},[617],[572,2344,2346,2349],{"className":2345},[622],[572,2347,1722],{"className":2348,"style":1773},[622,626],[572,2350,2352],{"className":2351},[631],[572,2353,2355,2375],{"className":2354},[635,636],[572,2356,2358,2372],{"className":2357},[640],[572,2359,2361],{"className":2360,"style":645},[644],[572,2362,2363,2366],{"style":1788},[572,2364],{"className":2365,"style":653},[652],[572,2367,2369],{"className":2368},[657,658,659,660],[572,2370,599],{"className":2371},[622,626,660],[572,2373,668],{"className":2374},[667],[572,2376,2378],{"className":2377},[640],[572,2379,2381],{"className":2380,"style":675},[644],[572,2382],{},[572,2384,1003],{"className":2385},[1080],[572,2387,725],{"className":2388},[622,626],[572,2390,1008],{"className":2391},[1087],[572,2393],{"className":2394,"style":1092},[1091],[572,2396,1011],{"className":2397},[1096],[572,2399],{"className":2400,"style":1092},[1091],[572,2402,2404,2408,2549,2553,2556,2559,2562,2565],{"className":2403},[613],[572,2405],{"className":2406,"style":2407},[617],"height:2.501em;vertical-align:-0.936em;",[572,2409,2411,2415,2546],{"className":2410},[622],[572,2412],{"className":2413},[1080,2414],"nulldelimiter",[572,2416,2418],{"className":2417},[2262],[572,2419,2421,2537],{"className":2420},[635,636],[572,2422,2424,2534],{"className":2423},[640],[572,2425,2428,2460,2471],{"className":2426,"style":2427},[644],"height:1.565em;",[572,2429,2431,2435],{"style":2430},"top:-2.314em;",[572,2432],{"className":2433,"style":2434},[652],"height:3em;",[572,2436,2438,2441,2444,2447,2450,2453,2456],{"className":2437},[622],[572,2439,1003],{"className":2440},[1080],[572,2442,599],{"className":2443},[622,626],[572,2445],{"className":2446,"style":1363},[1091],[572,2448,1199],{"className":2449},[1367],[572,2451],{"className":2452,"style":1363},[1091],[572,2454,1176],{"className":2455},[622],[572,2457,2459],{"className":2458},[1087],")!",[572,2461,2463,2466],{"style":2462},"top:-3.23em;",[572,2464],{"className":2465,"style":2434},[652],[572,2467],{"className":2468,"style":2470},[2469],"frac-line","border-bottom-width:0.04em;",[572,2472,2474,2477],{"style":2473},"top:-3.677em;",[572,2475],{"className":2476,"style":2434},[652],[572,2478,2480,2525,2528,2531],{"className":2479},[622],[572,2481,2483,2486],{"className":2482},[622],[572,2484,829],{"className":2485,"style":845},[622,626],[572,2487,2489],{"className":2488},[631],[572,2490,2492],{"className":2491},[635],[572,2493,2495],{"className":2494},[640],[572,2496,2499],{"className":2497,"style":2498},[644],"height:0.888em;",[572,2500,2501,2504],{"style":1399},[572,2502],{"className":2503,"style":653},[652],[572,2505,2507],{"className":2506},[657,658,659,660],[572,2508,2510,2513,2516,2519,2522],{"className":2509},[622,660],[572,2511,1003],{"className":2512},[1080,660],[572,2514,599],{"className":2515},[622,626,660],[572,2517,1199],{"className":2518},[1367,660],[572,2520,1176],{"className":2521},[622,660],[572,2523,1008],{"className":2524},[1087,660],[572,2526,1003],{"className":2527},[1080],[572,2529,2114],{"className":2530,"style":2130},[622,626],[572,2532,1008],{"className":2533},[1087],[572,2535,668],{"className":2536},[667],[572,2538,2540],{"className":2539},[640],[572,2541,2544],{"className":2542,"style":2543},[644],"height:0.936em;",[572,2545],{},[572,2547],{"className":2548},[1087,2414],[572,2550],{"className":2551,"style":2552},[1091],"margin-right:0.1667em;",[572,2554,1003],{"className":2555},[1080],[572,2557,725],{"className":2558},[622,626],[572,2560],{"className":2561,"style":1363},[1091],[572,2563,1226],{"className":2564},[1367],[572,2566],{"className":2567,"style":1363},[1091],[572,2569,2571,2575,2615],{"className":2570},[613],[572,2572],{"className":2573,"style":2574},[617],"height:1.1141em;vertical-align:-0.25em;",[572,2576,2578,2581],{"className":2577},[622],[572,2579,725],{"className":2580},[622,626],[572,2582,2584],{"className":2583},[631],[572,2585,2587,2607],{"className":2586},[635,636],[572,2588,2590,2604],{"className":2589},[640],[572,2591,2593],{"className":2592,"style":761},[644],[572,2594,2595,2598],{"style":764},[572,2596],{"className":2597,"style":653},[652],[572,2599,2601],{"className":2600},[657,658,659,660],[572,2602,729],{"className":2603},[622,660],[572,2605,668],{"className":2606},[667],[572,2608,2610],{"className":2609},[640],[572,2611,2613],{"className":2612,"style":675},[644],[572,2614],{},[572,2616,2618,2621],{"className":2617},[1087],[572,2619,1008],{"className":2620},[1087],[572,2622,2624],{"className":2623},[631],[572,2625,2627],{"className":2626},[635],[572,2628,2630],{"className":2629},[640],[572,2631,2634],{"className":2632,"style":2633},[644],"height:0.8641em;",[572,2635,2637,2640],{"style":2636},"top:-3.113em;margin-right:0.05em;",[572,2638],{"className":2639,"style":653},[652],[572,2641,26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= e^x",[572,2694,2696,2723],{"className":2695,"ariaHidden":609},[608],[572,2697,2699,2702,2705,2708,2711,2714,2717,2720],{"className":2698},[613],[572,2700],{"className":2701,"style":1036},[617],[572,2703,829],{"className":2704,"style":845},[622,626],[572,2706,1003],{"className":2707},[1080],[572,2709,725],{"className":2710},[622,626],[572,2712,1008],{"className":2713},[1087],[572,2715],{"className":2716,"style":1092},[1091],[572,2718,1011],{"className":2719},[1096],[572,2721],{"className":2722,"style":1092},[1091],[572,2724,2726,2730],{"className":2725},[613],[572,2727],{"className":2728,"style":2729},[617],"height:0.6644em;",[572,2731,2733,2736],{"className":2732},[622],[572,2734,2687],{"className":2735},[622,626],[572,2737,2739],{"className":2738},[631],[572,2740,2742],{"className":2741},[635],[572,2743,2745],{"className":2744},[640],[572,2746,2748],{"className":2747,"style":2729},[644],[572,2749,2750,2753],{"style":1399},[572,2751],{"className":2752,"style":653},[652],[572,2754,2756],{"className":2755},[657,658,659,660],[572,2757,725],{"className":2758},[622,626,660]," um ",[572,2761,2763,2784],{"className":2762},[575],[572,2764,2766],{"className":2765},[579],[581,2767,2768],{"xmlns":583},[585,2769,2770,2782],{},[588,2771,2772,2778,2780],{},[591,2773,2774,2776],{},[594,2775,725],{},[727,2777,729],{},[1000,2779,1011],{},[727,2781,729],{},[601,2783,1628],{"encoding":603},[572,2785,2787,2842],{"className":2786,"ariaHidden":609},[608],[572,2788,2790,2793,2833,2836,2839],{"className":2789},[613],[572,2791],{"className":2792,"style":742},[617],[572,2794,2796,2799],{"className":2795},[622],[572,2797,725],{"className":2798},[622,626],[572,2800,2802],{"className":2801},[631],[572,2803,2805,2825],{"className":2804},[635,636],[572,2806,2808,2822],{"className":2807},[640],[572,2809,2811],{"className":2810,"style":761},[644],[572,2812,2813,2816],{"style":764},[572,2814],{"className":2815,"style":653},[652],[572,2817,2819],{"className":2818},[657,658,659,660],[572,2820,729],{"className":2821},[622,660],[572,2823,668],{"className":2824},[667],[572,2826,2828],{"className":2827},[640],[572,2829,2831],{"className":2830,"style":675},[644],[572,2832],{},[572,2834],{"className":2835,"style":1092},[1091],[572,2837,1011],{"className":2838},[1096],[572,2840],{"className":2841,"style":1092},[1091],[572,2843,2845,2848],{"className":2844},[613],[572,2846],{"className":2847,"style":1693},[617],[572,2849,729],{"className":2850},[622],": Alle Ableitungen sind ",[572,2853,2855,2877],{"className":2854},[575],[572,2856,2858],{"className":2857},[579],[581,2859,2860],{"xmlns":583},[585,2861,2862,2874],{},[588,2863,2864,2870,2872],{},[1201,2865,2866,2868],{},[594,2867,2687],{},[727,2869,729],{},[1000,2871,1011],{},[727,2873,1176],{},[601,2875,2876],{"encoding":603},"e^0 = 1",[572,2878,2880,2925],{"className":2879,"ariaHidden":609},[608],[572,2881,2883,2887,2916,2919,2922],{"className":2882},[613],[572,2884],{"className":2885,"style":2886},[617],"height:0.8141em;",[572,2888,2890,2893],{"className":2889},[622],[572,2891,2687],{"className":2892},[622,626],[572,2894,2896],{"className":2895},[631],[572,2897,2899],{"className":2898},[635],[572,2900,2902],{"className":2901},[640],[572,2903,2905],{"className":2904,"style":2886},[644],[572,2906,2907,2910],{"style":1399},[572,2908],{"className":2909,"style":653},[652],[572,2911,2913],{"className":2912},[657,658,659,660],[572,2914,729],{"className":2915},[622,660],[572,2917],{"className":2918,"style":1092},[1091],[572,2920,1011],{"className":2921},[1096],[572,2923],{"className":2924,"style":1092},[1091],[572,2926,2928,2931],{"className":2927},[613],[572,2929],{"className":2930,"style":1693},[617],[572,2932,1176],{"className":2933},[622],[572,2935,2937],{"className":2936},[2233],[572,2938,2940,3031],{"className":2939},[575],[572,2941,2943],{"className":2942},[579],[581,2944,2945],{"xmlns":583,"display":2242},[585,2946,2947,3028],{},[588,2948,2949,2956,2958,2960,2962,2964,2966,2968,2970,2972,2982,2984,2995,2998,3001,3007,3009,3011,3013,3015,3022,3025],{},[591,2950,2951,2953],{},[594,2952,596],{},[727,2954,2955],{},"3",[1000,2957,1003],{"stretchy":1002},[594,2959,725],{},[1000,2961,1008],{"stretchy":1002},[1000,2963,1011],{},[727,2965,1176],{},[1000,2967,1199],{},[594,2969,725],{},[1000,2971,1199],{},[2262,2973,2974,2980],{},[1201,2975,2976,2978],{},[594,2977,725],{},[727,2979,1547],{},[727,2981,1547],{},[1000,2983,1199],{},[2262,2985,2986,2992],{},[1201,2987,2988,2990],{},[594,2989,725],{},[727,2991,2955],{},[727,2993,2994],{},"6",[1000,2996,2997],{"separator":609},",",[1091,2999],{"width":3000},"1em",[591,3002,3003,3005],{},[594,3004,596],{},[727,3006,2955],{},[1000,3008,1003],{"stretchy":1002},[727,3010,1176],{},[1000,3012,1008],{"stretchy":1002},[1000,3014,1011],{},[2262,3016,3017,3020],{},[727,3018,3019],{},"8",[727,3021,2955],{},[1000,3023,3024],{},"≈",[727,3026,3027],{},"2,6667",[601,3029,3030],{"encoding":603},"T_3(x) = 1 + x + \\frac{x^2}{2} + \\frac{x^3}{6}, \\quad T_3(1) = \\frac{8}{3} \\approx 2{,}6667",[572,3032,3034,3098,3117,3136,3242,3405,3484],{"className":3033,"ariaHidden":609},[608],[572,3035,3037,3040,3080,3083,3086,3089,3092,3095],{"className":3036},[613],[572,3038],{"className":3039,"style":1036},[617],[572,3041,3043,3046],{"className":3042},[622],[572,3044,596],{"className":3045,"style":627},[622,626],[572,3047,3049],{"className":3048},[631],[572,3050,3052,3072],{"className":3051},[635,636],[572,3053,3055,3069],{"className":3054},[640],[572,3056,3058],{"className":3057,"style":761},[644],[572,3059,3060,3063],{"style":648},[572,3061],{"className":3062,"style":653},[652],[572,3064,3066],{"className":3065},[657,658,659,660],[572,3067,2955],{"className":3068},[622,660],[572,3070,668],{"className":3071},[667],[572,3073,3075],{"className":3074},[640],[572,3076,3078],{"className":3077,"style":675},[644],[572,3079],{},[572,3081,1003],{"className":3082},[1080],[572,3084,725],{"className":3085},[622,626],[572,3087,1008],{"className":3088},[1087],[572,3090],{"className":3091,"style":1092},[1091],[572,3093,1011],{"className":3094},[1096],[572,3096],{"className":3097,"style":1092},[1091],[572,3099,3101,3105,3108,3111,3114],{"className":3100},[613],[572,3102],{"className":3103,"style":3104},[617],"height:0.7278em;vertical-align:-0.0833em;",[572,3106,1176],{"className":3107},[622],[572,3109],{"className":3110,"style":1363},[1091],[572,3112,1199],{"className":3113},[1367],[572,3115],{"className":3116,"style":1363},[1091],[572,3118,3120,3124,3127,3130,3133],{"className":3119},[613],[572,3121],{"className":3122,"style":3123},[617],"height:0.6667em;vertical-align:-0.0833em;",[572,3125,725],{"className":3126},[622,626],[572,3128],{"className":3129,"style":1363},[1091],[572,3131,1199],{"className":3132},[1367],[572,3134],{"className":3135,"style":1363},[1091],[572,3137,3139,3143,3233,3236,3239],{"className":3138},[613],[572,3140],{"className":3141,"style":3142},[617],"height:2.1771em;vertical-align:-0.686em;",[572,3144,3146,3149,3230],{"className":3145},[622],[572,3147],{"className":3148},[1080,2414],[572,3150,3152],{"className":3151},[2262],[572,3153,3155,3221],{"className":3154},[635,636],[572,3156,3158,3218],{"className":3157},[640],[572,3159,3162,3173,3181],{"className":3160,"style":3161},[644],"height:1.4911em;",[572,3163,3164,3167],{"style":2430},[572,3165],{"className":3166,"style":2434},[652],[572,3168,3170],{"className":3169},[622],[572,3171,1547],{"className":3172},[622],[572,3174,3175,3178],{"style":2462},[572,3176],{"className":3177,"style":2434},[652],[572,3179],{"className":3180,"style":2470},[2469],[572,3182,3183,3186],{"style":2473},[572,3184],{"className":3185,"style":2434},[652],[572,3187,3189],{"className":3188},[622],[572,3190,3192,3195],{"className":3191},[622],[572,3193,725],{"className":3194},[622,626],[572,3196,3198],{"className":3197},[631],[572,3199,3201],{"className":3200},[635],[572,3202,3204],{"className":3203},[640],[572,3205,3207],{"className":3206,"style":2886},[644],[572,3208,3209,3212],{"style":1399},[572,3210],{"className":3211,"style":653},[652],[572,3213,3215],{"className":3214},[657,658,659,660],[572,3216,1547],{"className":3217},[622,660],[572,3219,668],{"className":3220},[667],[572,3222,3224],{"className":3223},[640],[572,3225,3228],{"className":3226,"style":3227},[644],"height:0.686em;",[572,3229],{},[572,3231],{"className":3232},[1087,2414],[572,3234],{"className":3235,"style":1363},[1091],[572,3237,1199],{"className":3238},[1367],[572,3240],{"className":3241,"style":1363},[1091],[572,3243,3245,3248,3336,3340,3344,3347,3387,3390,3393,3396,3399,3402],{"className":3244},[613],[572,3246],{"className":3247,"style":3142},[617],[572,3249,3251,3254,3333],{"className":3250},[622],[572,3252],{"className":3253},[1080,2414],[572,3255,3257],{"className":3256},[2262],[572,3258,3260,3325],{"className":3259},[635,636],[572,3261,3263,3322],{"className":3262},[640],[572,3264,3266,3277,3285],{"className":3265,"style":3161},[644],[572,3267,3268,3271],{"style":2430},[572,3269],{"className":3270,"style":2434},[652],[572,3272,3274],{"className":3273},[622],[572,3275,2994],{"className":3276},[622],[572,3278,3279,3282],{"style":2462},[572,3280],{"className":3281,"style":2434},[652],[572,3283],{"className":3284,"style":2470},[2469],[572,3286,3287,3290],{"style":2473},[572,3288],{"className":3289,"style":2434},[652],[572,3291,3293],{"className":3292},[622],[572,3294,3296,3299],{"className":3295},[622],[572,3297,725],{"className":3298},[622,626],[572,3300,3302],{"className":3301},[631],[572,3303,3305],{"className":3304},[635],[572,3306,3308],{"className":3307},[640],[572,3309,3311],{"className":3310,"style":2886},[644],[572,3312,3313,3316],{"style":1399},[572,3314],{"className":3315,"style":653},[652],[572,3317,3319],{"className":3318},[657,658,659,660],[572,3320,2955],{"className":3321},[622,660],[572,3323,668],{"className":3324},[667],[572,3326,3328],{"className":3327},[640],[572,3329,3331],{"className":3330,"style":3227},[644],[572,3332],{},[572,3334],{"className":3335},[1087,2414],[572,3337,2997],{"className":3338},[3339],"mpunct",[572,3341],{"className":3342,"style":3343},[1091],"margin-right:1em;",[572,3345],{"className":3346,"style":2552},[1091],[572,3348,3350,3353],{"className":3349},[622],[572,3351,596],{"className":3352,"style":627},[622,626],[572,3354,3356],{"className":3355},[631],[572,3357,3359,3379],{"className":3358},[635,636],[572,3360,3362,3376],{"className":3361},[640],[572,3363,3365],{"className":3364,"style":761},[644],[572,3366,3367,3370],{"style":648},[572,3368],{"className":3369,"style":653},[652],[572,3371,3373],{"className":3372},[657,658,659,660],[572,3374,2955],{"className":3375},[622,660],[572,3377,668],{"className":3378},[667],[572,3380,3382],{"className":3381},[640],[572,3383,3385],{"className":3384,"style":675},[644],[572,3386],{},[572,3388,1003],{"className":3389},[1080],[572,3391,1176],{"className":3392},[622],[572,3394,1008],{"className":3395},[1087],[572,3397],{"className":3398,"style":1092},[1091],[572,3400,1011],{"className":3401},[1096],[572,3403],{"className":3404,"style":1092},[1091],[572,3406,3408,3412,3475,3478,3481],{"className":3407},[613],[572,3409],{"className":3410,"style":3411},[617],"height:2.0074em;vertical-align:-0.686em;",[572,3413,3415,3418,3472],{"className":3414},[622],[572,3416],{"className":3417},[1080,2414],[572,3419,3421],{"className":3420},[2262],[572,3422,3424,3464],{"className":3423},[635,636],[572,3425,3427,3461],{"className":3426},[640],[572,3428,3431,3442,3450],{"className":3429,"style":3430},[644],"height:1.3214em;",[572,3432,3433,3436],{"style":2430},[572,3434],{"className":3435,"style":2434},[652],[572,3437,3439],{"className":3438},[622],[572,3440,2955],{"className":3441},[622],[572,3443,3444,3447],{"style":2462},[572,3445],{"className":3446,"style":2434},[652],[572,3448],{"className":3449,"style":2470},[2469],[572,3451,3452,3455],{"style":2473},[572,3453],{"className":3454,"style":2434},[652],[572,3456,3458],{"className":3457},[622],[572,3459,3019],{"className":3460},[622],[572,3462,668],{"className":3463},[667],[572,3465,3467],{"className":3466},[640],[572,3468,3470],{"className":3469,"style":3227},[644],[572,3471],{},[572,3473],{"className":3474},[1087,2414],[572,3476],{"className":3477,"style":1092},[1091],[572,3479,3024],{"className":3480},[1096],[572,3482],{"className":3483,"style":1092},[1091],[572,3485,3487,3491,3494,3500],{"className":3486},[613],[572,3488],{"className":3489,"style":3490},[617],"height:0.8389em;vertical-align:-0.1944em;",[572,3492,1547],{"className":3493},[622],[572,3495,3497],{"className":3496},[622],[572,3498,2997],{"className":3499},[3339],[572,3501,3503],{"className":3502},[622],"6667",[564,3505,3506,3507,3570,3571,3611,3612,1526],{},"Der echte Wert ist ",[572,3508,3510,3529],{"className":3509},[575],[572,3511,3513],{"className":3512},[579],[581,3514,3515],{"xmlns":583},[585,3516,3517,3526],{},[588,3518,3519,3521,3523],{},[594,3520,2687],{},[1000,3522,3024],{},[727,3524,3525],{},"2,7183",[601,3527,3528],{"encoding":603},"e \\approx 2{,}7183",[572,3530,3532,3551],{"className":3531,"ariaHidden":609},[608],[572,3533,3535,3539,3542,3545,3548],{"className":3534},[613],[572,3536],{"className":3537,"style":3538},[617],"height:0.4831em;",[572,3540,2687],{"className":3541},[622,626],[572,3543],{"className":3544,"style":1092},[1091],[572,3546,3024],{"className":3547},[1096],[572,3549],{"className":3550,"style":1092},[1091],[572,3552,3554,3557,3560,3566],{"className":3553},[613],[572,3555],{"className":3556,"style":3490},[617],[572,3558,1547],{"className":3559},[622],[572,3561,3563],{"className":3562},[622],[572,3564,2997],{"className":3565},[3339],[572,3567,3569],{"className":3568},[622],"7183",", der Fehler also etwa ",[572,3572,3574,3589],{"className":3573},[575],[572,3575,3577],{"className":3576},[579],[581,3578,3579],{"xmlns":583},[585,3580,3581,3586],{},[588,3582,3583],{},[727,3584,3585],{},"0,0516",[601,3587,3588],{"encoding":603},"0{,}0516",[572,3590,3592],{"className":3591,"ariaHidden":609},[608],[572,3593,3595,3598,3601,3607],{"className":3594},[613],[572,3596],{"className":3597,"style":3490},[617],[572,3599,729],{"className":3600},[622],[572,3602,3604],{"className":3603},[622],[572,3605,2997],{"className":3606},[3339],[572,3608,3610],{"className":3609},[622],"0516",". Das Restglied liefert vorab die Schranke ",[572,3613,3615,3673],{"className":3614},[575],[572,3616,3618],{"className":3617},[579],[581,3619,3620],{"xmlns":583},[585,3621,3622,3670],{},[588,3623,3624,3627,3633,3635,3637,3639,3641,3644,3655,3658,3665,3667],{},[594,3625,3626],{"mathvariant":1207},"∣",[591,3628,3629,3631],{},[594,3630,1722],{},[727,3632,2955],{},[1000,3634,1003],{"stretchy":1002},[727,3636,1176],{},[1000,3638,1008],{"stretchy":1002},[594,3640,3626],{"mathvariant":1207},[1000,3642,3643],{},"≤",[2262,3645,3646,3648],{},[594,3647,2687],{},[588,3649,3650,3653],{},[727,3651,3652],{},"4",[1000,3654,2302],{"stretchy":1002},[1000,3656,3657],{},"\u003C",[2262,3659,3660,3662],{},[727,3661,2955],{},[727,3663,3664],{},"24",[1000,3666,1011],{},[727,3668,3669],{},"0,125",[601,3671,3672],{"encoding":603},"|R_3(1)| \\leq \\frac{e}{4!} \u003C \\frac{3}{24} = 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= \\sin 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Die Ableitungen bei ",[572,4116,4118,4131],{"className":4117},[575],[572,4119,4121],{"className":4120},[579],[581,4122,4123],{"xmlns":583},[585,4124,4125,4129],{},[588,4126,4127],{},[727,4128,729],{},[601,4130,729],{"encoding":603},[572,4132,4134],{"className":4133,"ariaHidden":609},[608],[572,4135,4137,4140],{"className":4136},[613],[572,4138],{"className":4139,"style":1693},[617],[572,4141,729],{"className":4142},[622]," sind 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\\ldots",[572,4189,4191],{"className":4190,"ariaHidden":609},[608],[572,4192,4194,4197,4200,4203,4206,4209,4212,4215,4218,4221,4224,4227,4230,4233,4236,4239,4242,4245,4248,4251,4254],{"className":4193},[613],[572,4195],{"className":4196,"style":3490},[617],[572,4198,729],{"className":4199},[622],[572,4201,2997],{"className":4202},[3339],[572,4204],{"className":4205,"style":2552},[1091],[572,4207,1176],{"className":4208},[622],[572,4210,2997],{"className":4211},[3339],[572,4213],{"className":4214,"style":2552},[1091],[572,4216,729],{"className":4217},[622],[572,4219,2997],{"className":4220},[3339],[572,4222],{"className":4223,"style":2552},[1091],[572,4225,1226],{"className":4226},[622],[572,4228,1176],{"className":4229},[622],[572,4231,2997],{"className":4232},[3339],[572,4234],{"className":4235,"style":2552},[1091],[572,4237,729],{"className":4238},[622],[572,4240,2997],{"className":4241},[3339],[572,4243],{"className":4244,"style":2552},[1091],[572,4246,1176],{"className":4247},[622],[572,4249,2997],{"className":4250},[3339],[572,4252],{"className":4253,"style":2552},[1091],[572,4255,4184],{"className":4256},[4257],"minner",[572,4259,4261],{"className":4260},[2233],[572,4262,4264,4340],{"className":4263},[575],[572,4265,4267],{"className":4266},[579],[581,4268,4269],{"xmlns":583,"display":2242},[585,4270,4271,4337],{},[588,4272,4273,4280,4282,4284,4286,4288,4290,4292,4302,4304,4315,4317,4319,4325,4327,4330,4332,4334],{},[591,4274,4275,4277],{},[594,4276,596],{},[727,4278,4279],{},"5",[1000,4281,1003],{"stretchy":1002},[594,4283,725],{},[1000,4285,1008],{"stretchy":1002},[1000,4287,1011],{},[594,4289,725],{},[1000,4291,1226],{},[2262,4293,4294,4300],{},[1201,4295,4296,4298],{},[594,4297,725],{},[727,4299,2955],{},[727,4301,2994],{},[1000,4303,1199],{},[2262,4305,4306,4312],{},[1201,4307,4308,4310],{},[594,4309,725],{},[727,4311,4279],{},[727,4313,4314],{},"120",[1000,4316,2997],{"separator":609},[1091,4318],{"width":3000},[591,4320,4321,4323],{},[594,4322,596],{},[727,4324,4279],{},[1000,4326,1003],{"stretchy":1002},[727,4328,4329],{},"0,5",[1000,4331,1008],{"stretchy":1002},[1000,4333,3024],{},[727,4335,4336],{},"0,4794271",[601,4338,4339],{"encoding":603},"T_5(x) 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Vergleich: ",[572,4721,4723,4750],{"className":4722},[575],[572,4724,4726],{"className":4725},[579],[581,4727,4728],{"xmlns":583},[585,4729,4730,4747],{},[588,4731,4732,4734,4736,4738,4740,4742,4744],{},[594,4733,3967],{},[1000,4735,3970],{},[1000,4737,1003],{"stretchy":1002},[727,4739,4329],{},[1000,4741,1008],{"stretchy":1002},[1000,4743,3024],{},[727,4745,4746],{},"0,4794255",[601,4748,4749],{"encoding":603},"\\sin(0{,}5) \\approx 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nicht 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Die Koeffizienten sind feste Zahlen.",[979,7465,7466,7467,7600,7601,7629,7630,7732],{},"Bei ",[572,7468,7470,7493],{"className":7469},[575],[572,7471,7473],{"className":7472},[579],[581,7474,7475],{"xmlns":583},[585,7476,7477,7490],{},[588,7478,7479,7485,7488],{},[591,7480,7481,7483],{},[594,7482,725],{},[727,7484,729],{},[1000,7486,7487],{"mathvariant":1207},"≠",[727,7489,729],{},[601,7491,7492],{"encoding":603},"x_0 \\neq 0",[572,7494,7496,7591],{"className":7495,"ariaHidden":609},[608],[572,7497,7499,7502,7542,7545,7588],{"className":7498},[613],[572,7500],{"className":7501,"style":841},[617],[572,7503,7505,7508],{"className":7504},[622],[572,7506,725],{"className":7507},[622,626],[572,7509,7511],{"className":7510},[631],[572,7512,7514,7534],{"className":7513},[635,636],[572,7515,7517,7531],{"className":7516},[640],[572,7518,7520],{"className":7519,"style":761},[644],[572,7521,7522,7525],{"style":764},[572,7523],{"className":7524,"style":653},[652],[572,7526,7528],{"className":7527},[657,658,659,660],[572,7529,729],{"className":7530},[622,660],[572,7532,668],{"className":7533},[667],[572,7535,7537],{"className":7536},[640],[572,7538,7540],{"className":7539,"style":675},[644],[572,7541],{},[572,7543],{"className":7544,"style":1092},[1091],[572,7546,7548,7581,7585],{"className":7547},[1096],[572,7549,7551],{"className":7550},[1096],[572,7552,7555],{"className":7553},[622,7554],"vbox",[572,7556,7559],{"className":7557},[7558],"thinbox",[572,7560,7563,7566,7577],{"className":7561},[7562],"rlap",[572,7564],{"className":7565,"style":841},[617],[572,7567,7570],{"className":7568},[7569],"inner",[572,7571,7573],{"className":7572},[622],[572,7574,7576],{"className":7575},[1096],"",[572,7578],{"className":7579},[7580],"fix",[572,7582],{"className":7583},[1091,7584],"nobreak",[572,7586,1011],{"className":7587},[1096],[572,7589],{"className":7590,"style":1092},[1091],[572,7592,7594,7597],{"className":7593},[613],[572,7595],{"className":7596,"style":1693},[617],[572,7598,729],{"className":7599},[622]," in Potenzen von ",[572,7602,7604,7617],{"className":7603},[575],[572,7605,7607],{"className":7606},[579],[581,7608,7609],{"xmlns":583},[585,7610,7611,7615],{},[588,7612,7613],{},[594,7614,725],{},[601,7616,725],{"encoding":603},[572,7618,7620],{"className":7619,"ariaHidden":609},[608],[572,7621,7623,7626],{"className":7622},[613],[572,7624],{"className":7625,"style":704},[617],[572,7627,725],{"className":7628},[622,626]," statt von ",[572,7631,7633,7659],{"className":7632},[575],[572,7634,7636],{"className":7635},[579],[581,7637,7638],{"xmlns":583},[585,7639,7640,7656],{},[588,7641,7642,7644,7646,7648,7654],{},[1000,7643,1003],{"stretchy":1002},[594,7645,725],{},[1000,7647,1226],{},[591,7649,7650,7652],{},[594,7651,725],{},[727,7653,729],{},[1000,7655,1008],{"stretchy":1002},[601,7657,7658],{"encoding":603},"(x - 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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>\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:2.9535em;vertical-align:-1.3021em;\">\u003C\u002Fspan>\u003Cspan class=\"mop op-limits\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.6514em;\">\u003Cspan 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style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\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:0.686em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\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 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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=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":7925,"meaning":7926,"symbolHtml":7927},"k!","Fakultät von k, mit 0! = 1","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>k\u003C\u002Fmi>\u003Cmo stretchy=\"false\">!\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">k!\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan 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