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":857},[649],[572,1069,616],{"className":1070},[861],[572,1072],{"className":1073,"style":857},[649],[572,1075,1077,1081,1139,1143,1221,1224,1227],{"className":1076},[752],[572,1078],{"className":1079,"style":1080},[756],"height:2.3262em;vertical-align:-0.9119em;",[572,1082,1084,1090],{"className":1083},[1037],[572,1085,684],{"className":1086,"style":1089},[1037,1087,1088],"op-symbol","large-op","margin-right:0.4445em;position:relative;top:-0.0011em;",[572,1091,1093],{"className":1092},[919],[572,1094,1096,1130],{"className":1095},[773,774],[572,1097,1099,1127],{"className":1098},[778],[572,1100,1103,1115],{"className":1101,"style":1102},[782],"height:1.4143em;",[572,1104,1106,1109],{"style":1105},"top:-1.7881em;margin-left:-0.4445em;margin-right:0.05em;",[572,1107],{"className":1108,"style":936},[790],[572,1110,1112],{"className":1111},[940,941,942,943],[572,1113,687],{"className":1114},[761,943],[572,1116,1118,1121],{"style":1117},"top:-3.8129em;margin-right:0.05em;",[572,1119],{"className":1120,"style":936},[790],[572,1122,1124],{"className":1123},[940,941,942,943],[572,1125,673],{"className":1126},[761,812,943],[572,1128,840],{"className":1129},[839],[572,1131,1133],{"className":1132},[778],[572,1134,1137],{"className":1135,"style":1136},[782],"height:0.9119em;",[572,1138],{},[572,1140],{"className":1141,"style":1142},[649],"margin-right:0.1667em;",[572,1144,1146,1149,1218],{"className":1145},[761],[572,1147],{"className":1148},[765,766],[572,1150,1152],{"className":1151},[596],[572,1153,1155,1210],{"className":1154},[773,774],[572,1156,1158,1207],{"className":1157},[778],[572,1159,1162,1185,1193],{"className":1160,"style":1161},[782],"height:1.3714em;",[572,1163,1164,1167],{"style":786},[572,1165],{"className":1166,"style":791},[790],[572,1168,1170,1173,1176,1179,1182],{"className":1169},[761],[572,1171,601],{"className":1172},[761],[572,1174],{"className":1175,"style":801},[649],[572,1177,609],{"className":1178},[805],[572,1180],{"className":1181,"style":801},[649],[572,1183,613],{"className":1184},[761,812],[572,1186,1187,1190],{"style":815},[572,1188],{"className":1189,"style":791},[790],[572,1191],{"className":1192,"style":823},[822],[572,1194,1195,1198],{"style":826},[572,1196],{"className":1197,"style":791},[790],[572,1199,1201,1204],{"className":1200},[761],[572,1202,696],{"className":1203},[761,812],[572,1205,613],{"className":1206},[761,812],[572,1208,840],{"className":1209},[839],[572,1211,1213],{"className":1212},[778],[572,1214,1216],{"className":1215,"style":847},[782],[572,1217],{},[572,1219],{"className":1220},[853,766],[572,1222],{"className":1223,"style":857},[649],[572,1225,616],{"className":1226},[861],[572,1228],{"className":1229,"style":857},[649],[572,1231,1233,1237,1240,1243,1246],{"className":1232},[752],[572,1234],{"className":1235,"style":1236},[756],"height:0.6667em;vertical-align:-0.0833em;",[572,1238,673],{"className":1239},[761,812],[572,1241],{"className":1242,"style":801},[649],[572,1244,621],{"className":1245},[805],[572,1247],{"className":1248,"style":801},[649],[572,1250,1252,1256,1348,1351,1354],{"className":1251},[752],[572,1253],{"className":1254,"style":1255},[756],"height:2.1771em;vertical-align:-0.686em;",[572,1257,1259,1262,1345],{"className":1258},[761],[572,1260],{"className":1261},[765,766],[572,1263,1265],{"className":1264},[596],[572,1266,1268,1336],{"className":1267},[773,774],[572,1269,1271,1333],{"className":1270},[778],[572,1272,1275,1286,1294],{"className":1273,"style":1274},[782],"height:1.4911em;",[572,1276,1277,1280],{"style":786},[572,1278],{"className":1279,"style":791},[790],[572,1281,1283],{"className":1282},[761],[572,1284,633],{"className":1285},[761],[572,1287,1288,1291],{"style":815},[572,1289],{"className":1290,"style":791},[790],[572,1292],{"className":1293,"style":823},[822],[572,1295,1296,1299],{"style":826},[572,1297],{"className":1298,"style":791},[790],[572,1300,1302],{"className":1301},[761],[572,1303,1305,1308],{"className":1304},[761],[572,1306,673],{"className":1307},[761,812],[572,1309,1311],{"className":1310},[919],[572,1312,1314],{"className":1313},[773],[572,1315,1317],{"className":1316},[778],[572,1318,1321],{"className":1319,"style":1320},[782],"height:0.8141em;",[572,1322,1324,1327],{"style":1323},"top:-3.063em;margin-right:0.05em;",[572,1325],{"className":1326,"style":936},[790],[572,1328,1330],{"className":1329},[940,941,942,943],[572,1331,633],{"className":1332},[761,943],[572,1334,840],{"className":1335},[839],[572,1337,1339],{"className":1338},[778],[572,1340,1343],{"className":1341,"style":1342},[782],"height:0.686em;",[572,1344],{},[572,1346],{"className":1347},[853,766],[572,1349],{"className":1350,"style":801},[649],[572,1352,609],{"className":1353},[805],[572,1355],{"className":1356,"style":801},[649],[572,1358,1360,1363,1451,1454,1457],{"className":1359},[752],[572,1361],{"className":1362,"style":1255},[756],[572,1364,1366,1369,1448],{"className":1365},[761],[572,1367],{"className":1368},[765,766],[572,1370,1372],{"className":1371},[596],[572,1373,1375,1440],{"className":1374},[773,774],[572,1376,1378,1437],{"className":1377},[778],[572,1379,1381,1392,1400],{"className":1380,"style":1274},[782],[572,1382,1383,1386],{"style":786},[572,1384],{"className":1385,"style":791},[790],[572,1387,1389],{"className":1388},[761],[572,1390,642],{"className":1391},[761],[572,1393,1394,1397],{"style":815},[572,1395],{"className":1396,"style":791},[790],[572,1398],{"className":1399,"style":823},[822],[572,1401,1402,1405],{"style":826},[572,1403],{"className":1404,"style":791},[790],[572,1406,1408],{"className":1407},[761],[572,1409,1411,1414],{"className":1410},[761],[572,1412,673],{"className":1413},[761,812],[572,1415,1417],{"className":1416},[919],[572,1418,1420],{"className":1419},[773],[572,1421,1423],{"className":1422},[778],[572,1424,1426],{"className":1425,"style":1320},[782],[572,1427,1428,1431],{"style":1323},[572,1429],{"className":1430,"style":936},[790],[572,1432,1434],{"className":1433},[940,941,942,943],[572,1435,642],{"className":1436},[761,943],[572,1438,840],{"className":1439},[839],[572,1441,1443],{"className":1442},[778],[572,1444,1446],{"className":1445,"style":1342},[782],[572,1447],{},[572,1449],{"className":1450},[853,766],[572,1452],{"className":1453,"style":801},[649],[572,1455,621],{"className":1456},[805],[572,1458],{"className":1459,"style":801},[649],[572,1461,1463,1467],{"className":1462},[752],[572,1464],{"className":1465,"style":1466},[756],"height:0.313em;",[572,1468,647],{"className":1469},[1010],[564,1471,1472,1473,1502],{},"Der Konvergenzradius ist ",[572,1474,1476,1489],{"className":1475},[579],[572,1477,1479],{"className":1478},[583],[585,1480,1481],{"xmlns":587},[590,1482,1483,1487],{},[593,1484,1485],{},[599,1486,601],{},[740,1488,601],{"encoding":742},[572,1490,1492],{"className":1491,"ariaHidden":748},[747],[572,1493,1495,1499],{"className":1494},[752],[572,1496],{"className":1497,"style":1498},[756],"height:0.6444em;",[572,1500,601],{"className":1501},[761],". Am Rand ist das Verhalten verschieden:",[1504,1505,1506,1607],"ul",{},[1507,1508,1509,1561,1562,1565,1566,1606],"li",{},[572,1510,1512,1530],{"className":1511},[579],[572,1513,1515],{"className":1514},[583],[585,1516,1517],{"xmlns":587},[590,1518,1519,1527],{},[593,1520,1521,1523,1525],{},[611,1522,673],{},[607,1524,616],{},[599,1526,601],{},[740,1528,1529],{"encoding":742},"x = 1",[572,1531,1533,1552],{"className":1532,"ariaHidden":748},[747],[572,1534,1536,1540,1543,1546,1549],{"className":1535},[752],[572,1537],{"className":1538,"style":1539},[756],"height:0.4306em;",[572,1541,673],{"className":1542},[761,812],[572,1544],{"className":1545,"style":857},[649],[572,1547,616],{"className":1548},[861],[572,1550],{"className":1551,"style":857},[649],[572,1553,1555,1558],{"className":1554},[752],[572,1556],{"className":1557,"style":1498},[756],[572,1559,601],{"className":1560},[761],": Es entsteht die ",[568,1563,1564],{},"alternierende harmonische Reihe",", die nach Leibniz konvergiert, und zwar gegen ",[572,1567,1569,1587],{"className":1568},[579],[572,1570,1572],{"className":1571},[583],[585,1573,1574],{"xmlns":587},[590,1575,1576,1584],{},[593,1577,1578,1580,1582],{},[611,1579,659],{},[607,1581,662],{},[599,1583,633],{},[740,1585,1586],{"encoding":742},"\\ln 2",[572,1588,1590],{"className":1589,"ariaHidden":748},[747],[572,1591,1593,1597,1600,1603],{"className":1592},[752],[572,1594],{"className":1595,"style":1596},[756],"height:0.6944em;",[572,1598,659],{"className":1599},[1037],[572,1601],{"className":1602,"style":1142},[649],[572,1604,633],{"className":1605},[761],".",[1507,1608,1609,1665,1666,1705],{},[572,1610,1612,1632],{"className":1611},[579],[572,1613,1615],{"className":1614},[583],[585,1616,1617],{"xmlns":587},[590,1618,1619,1629],{},[593,1620,1621,1623,1625,1627],{},[611,1622,673],{},[607,1624,616],{},[607,1626,621],{},[599,1628,601],{},[740,1630,1631],{"encoding":742},"x = -1",[572,1633,1635,1653],{"className":1634,"ariaHidden":748},[747],[572,1636,1638,1641,1644,1647,1650],{"className":1637},[752],[572,1639],{"className":1640,"style":1539},[756],[572,1642,673],{"className":1643},[761,812],[572,1645],{"className":1646,"style":857},[649],[572,1648,616],{"className":1649},[861],[572,1651],{"className":1652,"style":857},[649],[572,1654,1656,1659,1662],{"className":1655},[752],[572,1657],{"className":1658,"style":871},[756],[572,1660,621],{"className":1661},[761],[572,1663,601],{"className":1664},[761],": Es entsteht die negative harmonische Reihe, die divergiert. Das passt dazu, dass ",[572,1667,1669,1687],{"className":1668},[579],[572,1670,1672],{"className":1671},[583],[585,1673,1674],{"xmlns":587},[590,1675,1676,1684],{},[593,1677,1678,1680,1682],{},[611,1679,659],{},[607,1681,662],{},[599,1683,687],{},[740,1685,1686],{"encoding":742},"\\ln 0",[572,1688,1690],{"className":1689,"ariaHidden":748},[747],[572,1691,1693,1696,1699,1702],{"className":1692},[752],[572,1694],{"className":1695,"style":1596},[756],[572,1697,659],{"className":1698},[1037],[572,1700],{"className":1701,"style":1142},[649],[572,1703,687],{"className":1704},[761]," nicht definiert ist.",[564,1707,1708,1709,1740,1741,1769,1770,1798,1799,1838,1839,1867,1868,1936,1937,2005],{},"Die Reihe entwickelt ",[572,1710,1712,1728],{"className":1711},[579],[572,1713,1715],{"className":1714},[583],[585,1716,1717],{"xmlns":587},[590,1718,1719,1725],{},[593,1720,1721,1723],{},[611,1722,659],{},[607,1724,662],{},[740,1726,1727],{"encoding":742},"\\ln",[572,1729,1731],{"className":1730,"ariaHidden":748},[747],[572,1732,1734,1737],{"className":1733},[752],[572,1735],{"className":1736,"style":1596},[756],[572,1738,659],{"className":1739},[1037]," um die Stelle ",[572,1742,1744,1757],{"className":1743},[579],[572,1745,1747],{"className":1746},[583],[585,1748,1749],{"xmlns":587},[590,1750,1751,1755],{},[593,1752,1753],{},[599,1754,601],{},[740,1756,601],{"encoding":742},[572,1758,1760],{"className":1759,"ariaHidden":748},[747],[572,1761,1763,1766],{"className":1762},[752],[572,1764],{"className":1765,"style":1498},[756],[572,1767,601],{"className":1768},[761],", nicht um ",[572,1771,1773,1786],{"className":1772},[579],[572,1774,1776],{"className":1775},[583],[585,1777,1778],{"xmlns":587},[590,1779,1780,1784],{},[593,1781,1782],{},[599,1783,687],{},[740,1785,687],{"encoding":742},[572,1787,1789],{"className":1788,"ariaHidden":748},[747],[572,1790,1792,1795],{"className":1791},[752],[572,1793],{"className":1794,"style":1498},[756],[572,1796,687],{"className":1797},[761],"; ",[572,1800,1802,1820],{"className":1801},[579],[572,1803,1805],{"className":1804},[583],[585,1806,1807],{"xmlns":587},[590,1808,1809,1817],{},[593,1810,1811,1813,1815],{},[611,1812,659],{},[607,1814,662],{},[611,1816,673],{},[740,1818,1819],{"encoding":742},"\\ln x",[572,1821,1823],{"className":1822,"ariaHidden":748},[747],[572,1824,1826,1829,1832,1835],{"className":1825},[752],[572,1827],{"className":1828,"style":1596},[756],[572,1830,659],{"className":1831},[1037],[572,1833],{"className":1834,"style":1142},[649],[572,1836,673],{"className":1837},[761,812]," selbst hat bei ",[572,1840,1842,1855],{"className":1841},[579],[572,1843,1845],{"className":1844},[583],[585,1846,1847],{"xmlns":587},[590,1848,1849,1853],{},[593,1850,1851],{},[599,1852,687],{},[740,1854,687],{"encoding":742},[572,1856,1858],{"className":1857,"ariaHidden":748},[747],[572,1859,1861,1864],{"className":1860},[752],[572,1862],{"className":1863,"style":1498},[756],[572,1865,687],{"className":1866},[761]," keine Taylorreihe. Für schnelle Berechnungen nutzt man die Differenz der Reihen von ",[572,1869,1871,1897],{"className":1870},[579],[572,1872,1874],{"className":1873},[583],[585,1875,1876],{"xmlns":587},[590,1877,1878,1894],{},[593,1879,1880,1882,1884,1886,1888,1890,1892],{},[611,1881,659],{},[607,1883,662],{},[607,1885,666],{"stretchy":665},[599,1887,601],{},[607,1889,609],{},[611,1891,673],{},[607,1893,676],{"stretchy":665},[740,1895,1896],{"encoding":742},"\\ln(1 + x)",[572,1898,1900,1924],{"className":1899,"ariaHidden":748},[747],[572,1901,1903,1906,1909,1912,1915,1918,1921],{"className":1902},[752],[572,1904],{"className":1905,"style":1033},[756],[572,1907,659],{"className":1908},[1037],[572,1910,666],{"className":1911},[765],[572,1913,601],{"className":1914},[761],[572,1916],{"className":1917,"style":801},[649],[572,1919,609],{"className":1920},[805],[572,1922],{"className":1923,"style":801},[649],[572,1925,1927,1930,1933],{"className":1926},[752],[572,1928],{"className":1929,"style":1033},[756],[572,1931,673],{"className":1932},[761,812],[572,1934,676],{"className":1935},[853]," und ",[572,1938,1940,1966],{"className":1939},[579],[572,1941,1943],{"className":1942},[583],[585,1944,1945],{"xmlns":587},[590,1946,1947,1963],{},[593,1948,1949,1951,1953,1955,1957,1959,1961],{},[611,1950,659],{},[607,1952,662],{},[607,1954,666],{"stretchy":665},[599,1956,601],{},[607,1958,621],{},[611,1960,673],{},[607,1962,676],{"stretchy":665},[740,1964,1965],{"encoding":742},"\\ln(1 - x)",[572,1967,1969,1993],{"className":1968,"ariaHidden":748},[747],[572,1970,1972,1975,1978,1981,1984,1987,1990],{"className":1971},[752],[572,1973],{"className":1974,"style":1033},[756],[572,1976,659],{"className":1977},[1037],[572,1979,666],{"className":1980},[765],[572,1982,601],{"className":1983},[761],[572,1985],{"className":1986,"style":801},[649],[572,1988,621],{"className":1989},[805],[572,1991],{"className":1992,"style":801},[649],[572,1994,1996,1999,2002],{"className":1995},[752],[572,1997],{"className":1998,"style":1033},[756],[572,2000,673],{"className":2001},[761,812],[572,2003,676],{"className":2004},[853],":",[572,2007,2009],{"className":2008},[575],[572,2010,2012,2109],{"className":2011},[579],[572,2013,2015],{"className":2014},[583],[585,2016,2017],{"xmlns":587,"display":588},[590,2018,2019,2106],{},[593,2020,2021,2023,2025,2043,2045,2047,2088,2091,2093,2097,2099,2101,2104],{},[611,2022,659],{},[607,2024,662],{},[596,2026,2027,2035],{},[593,2028,2029,2031,2033],{},[599,2030,601],{},[607,2032,609],{},[611,2034,673],{},[593,2036,2037,2039,2041],{},[599,2038,601],{},[607,2040,621],{},[611,2042,673],{},[607,2044,616],{},[599,2046,633],{},[593,2048,2049,2051,2053,2055,2065,2067,2078,2080,2082,2086],{},[607,2050,666],{"fence":748},[611,2052,673],{},[607,2054,609],{},[596,2056,2057,2063],{},[627,2058,2059,2061],{},[611,2060,673],{},[599,2062,642],{},[599,2064,642],{},[607,2066,609],{},[596,2068,2069,2076],{},[627,2070,2071,2073],{},[611,2072,673],{},[599,2074,2075],{},"5",[599,2077,2075],{},[607,2079,609],{},[607,2081,647],{},[2083,2084,2085],"mtext",{}," ",[607,2087,676],{"fence":748},[607,2089,2090],{"separator":748},",",[649,2092],{"width":651},[611,2094,2096],{"mathvariant":2095},"normal","∣",[611,2098,673],{},[611,2100,2096],{"mathvariant":2095},[607,2102,2103],{},"\u003C",[599,2105,601],{},[740,2107,2108],{"encoding":742},"\\ln \\frac{1 + x}{1 - x} = 2\\left( x + \\frac{x^3}{3} + \\frac{x^5}{5} + \\cdots \\right),\\quad |x| \u003C 1",[572,2110,2112,2219,2493],{"className":2111,"ariaHidden":748},[747],[572,2113,2115,2118,2121,2124,2210,2213,2216],{"className":2114},[752],[572,2116],{"className":2117,"style":757},[756],[572,2119,659],{"className":2120},[1037],[572,2122],{"className":2123,"style":1142},[649],[572,2125,2127,2130,2207],{"className":2126},[761],[572,2128],{"className":2129},[765,766],[572,2131,2133],{"className":2132},[596],[572,2134,2136,2199],{"className":2135},[773,774],[572,2137,2139,2196],{"className":2138},[778],[572,2140,2142,2165,2173],{"className":2141,"style":783},[782],[572,2143,2144,2147],{"style":786},[572,2145],{"className":2146,"style":791},[790],[572,2148,2150,2153,2156,2159,2162],{"className":2149},[761],[572,2151,601],{"className":2152},[761],[572,2154],{"className":2155,"style":801},[649],[572,2157,621],{"className":2158},[805],[572,2160],{"className":2161,"style":801},[649],[572,2163,673],{"className":2164},[761,812],[572,2166,2167,2170],{"style":815},[572,2168],{"className":2169,"style":791},[790],[572,2171],{"className":2172,"style":823},[822],[572,2174,2175,2178],{"style":826},[572,2176],{"className":2177,"style":791},[790],[572,2179,2181,2184,2187,2190,2193],{"className":2180},[761],[572,2182,601],{"className":2183},[761],[572,2185],{"className":2186,"style":801},[649],[572,2188,609],{"className":2189},[805],[572,2191],{"className":2192,"style":801},[649],[572,2194,673],{"className":2195},[761,812],[572,2197,840],{"className":2198},[839],[572,2200,2202],{"className":2201},[778],[572,2203,2205],{"className":2204,"style":847},[782],[572,2206],{},[572,2208],{"className":2209},[853,766],[572,2211],{"className":2212,"style":857},[649],[572,2214,616],{"className":2215},[861],[572,2217],{"className":2218,"style":857},[649],[572,2220,2222,2226,2229,2232,2462,2465,2469,2472,2475,2478,2481,2484,2487,2490],{"className":2221},[752],[572,2223],{"className":2224,"style":2225},[756],"height:2.4411em;vertical-align:-0.95em;",[572,2227,633],{"className":2228},[761],[572,2230],{"className":2231,"style":1142},[649],[572,2233,2235,2244,2247,2250,2253,2256,2344,2347,2350,2353,2441,2444,2447,2450,2453,2456],{"className":2234},[1010],[572,2236,2240],{"className":2237,"style":2239},[765,2238],"delimcenter","top:0em;",[572,2241,666],{"className":2242},[2243,942],"delimsizing",[572,2245,673],{"className":2246},[761,812],[572,2248],{"className":2249,"style":801},[649],[572,2251,609],{"className":2252},[805],[572,2254],{"className":2255,"style":801},[649],[572,2257,2259,2262,2341],{"className":2258},[761],[572,2260],{"className":2261},[765,766],[572,2263,2265],{"className":2264},[596],[572,2266,2268,2333],{"className":2267},[773,774],[572,2269,2271,2330],{"className":2270},[778],[572,2272,2274,2285,2293],{"className":2273,"style":1274},[782],[572,2275,2276,2279],{"style":786},[572,2277],{"className":2278,"style":791},[790],[572,2280,2282],{"className":2281},[761],[572,2283,642],{"className":2284},[761],[572,2286,2287,2290],{"style":815},[572,2288],{"className":2289,"style":791},[790],[572,2291],{"className":2292,"style":823},[822],[572,2294,2295,2298],{"style":826},[572,2296],{"className":2297,"style":791},[790],[572,2299,2301],{"className":2300},[761],[572,2302,2304,2307],{"className":2303},[761],[572,2305,673],{"className":2306},[761,812],[572,2308,2310],{"className":2309},[919],[572,2311,2313],{"className":2312},[773],[572,2314,2316],{"className":2315},[778],[572,2317,2319],{"className":2318,"style":1320},[782],[572,2320,2321,2324],{"style":1323},[572,2322],{"className":2323,"style":936},[790],[572,2325,2327],{"className":2326},[940,941,942,943],[572,2328,642],{"className":2329},[761,943],[572,2331,840],{"className":2332},[839],[572,2334,2336],{"className":2335},[778],[572,2337,2339],{"className":2338,"style":1342},[782],[572,2340],{},[572,2342],{"className":2343},[853,766],[572,2345],{"className":2346,"style":801},[649],[572,2348,609],{"className":2349},[805],[572,2351],{"className":2352,"style":801},[649],[572,2354,2356,2359,2438],{"className":2355},[761],[572,2357],{"className":2358},[765,766],[572,2360,2362],{"className":2361},[596],[572,2363,2365,2430],{"className":2364},[773,774],[572,2366,2368,2427],{"className":2367},[778],[572,2369,2371,2382,2390],{"className":2370,"style":1274},[782],[572,2372,2373,2376],{"style":786},[572,2374],{"className":2375,"style":791},[790],[572,2377,2379],{"className":2378},[761],[572,2380,2075],{"className":2381},[761],[572,2383,2384,2387],{"style":815},[572,2385],{"className":2386,"style":791},[790],[572,2388],{"className":2389,"style":823},[822],[572,2391,2392,2395],{"style":826},[572,2393],{"className":2394,"style":791},[790],[572,2396,2398],{"className":2397},[761],[572,2399,2401,2404],{"className":2400},[761],[572,2402,673],{"className":2403},[761,812],[572,2405,2407],{"className":2406},[919],[572,2408,2410],{"className":2409},[773],[572,2411,2413],{"className":2412},[778],[572,2414,2416],{"className":2415,"style":1320},[782],[572,2417,2418,2421],{"style":1323},[572,2419],{"className":2420,"style":936},[790],[572,2422,2424],{"className":2423},[940,941,942,943],[572,2425,2075],{"className":2426},[761,943],[572,2428,840],{"className":2429},[839],[572,2431,2433],{"className":2432},[778],[572,2434,2436],{"className":2435,"style":1342},[782],[572,2437],{},[572,2439],{"className":2440},[853,766],[572,2442],{"className":2443,"style":801},[649],[572,2445,609],{"className":2446},[805],[572,2448],{"className":2449,"style":801},[649],[572,2451,647],{"className":2452},[1010],[572,2454],{"className":2455,"style":1142},[649],[572,2457,2459],{"className":2458,"style":2239},[853,2238],[572,2460,676],{"className":2461},[2243,942],[572,2463],{"className":2464,"style":1142},[649],[572,2466,2090],{"className":2467},[2468],"mpunct",[572,2470],{"className":2471,"style":1014},[649],[572,2473],{"className":2474,"style":1142},[649],[572,2476,2096],{"className":2477},[761],[572,2479,673],{"className":2480},[761,812],[572,2482,2096],{"className":2483},[761],[572,2485],{"className":2486,"style":857},[649],[572,2488,2103],{"className":2489},[861],[572,2491],{"className":2492,"style":857},[649],[572,2494,2496,2499],{"className":2495},[752],[572,2497],{"className":2498,"style":1498},[756],[572,2500,601],{"className":2501},[761],[559,2503,2505],{"id":2504},"beispiele","Beispiele",[564,2507,2508,2558,2559,2842,2843,1606],{},[572,2509,2511,2530],{"className":2510},[579],[572,2512,2514],{"className":2513},[583],[585,2515,2516],{"xmlns":587},[590,2517,2518,2527],{},[593,2519,2520,2522,2524],{},[611,2521,659],{},[607,2523,662],{},[599,2525,2526],{},"1,1",[740,2528,2529],{"encoding":742},"\\ln 1{,}1",[572,2531,2533],{"className":2532,"ariaHidden":748},[747],[572,2534,2536,2540,2543,2546,2549,2555],{"className":2535},[752],[572,2537],{"className":2538,"style":2539},[756],"height:0.8889em;vertical-align:-0.1944em;",[572,2541,659],{"className":2542},[1037],[572,2544],{"className":2545,"style":1142},[649],[572,2547,601],{"className":2548},[761],[572,2550,2552],{"className":2551},[761],[572,2553,2090],{"className":2554},[2468],[572,2556,601],{"className":2557},[761]," mit drei Gliedern: ",[572,2560,2562,2601],{"className":2561},[579],[572,2563,2565],{"className":2564},[583],[585,2566,2567],{"xmlns":587},[590,2568,2569,2598],{},[593,2570,2571,2574,2576,2583,2585,2592,2595],{},[599,2572,2573],{},"0,1",[607,2575,621],{},[596,2577,2578,2581],{},[599,2579,2580],{},"0,01",[599,2582,633],{},[607,2584,609],{},[596,2586,2587,2590],{},[599,2588,2589],{},"0,001",[599,2591,642],{},[607,2593,2594],{},"≈",[599,2596,2597],{},"0,095333",[740,2599,2600],{"encoding":742},"0{,}1 - \\frac{0{,}01}{2} + \\frac{0{,}001}{3} \\approx 0{,}095333",[572,2602,2604,2632,2730,2823],{"className":2603,"ariaHidden":748},[747],[572,2605,2607,2611,2614,2620,2623,2626,2629],{"className":2606},[752],[572,2608],{"className":2609,"style":2610},[756],"height:0.8389em;vertical-align:-0.1944em;",[572,2612,687],{"className":2613},[761],[572,2615,2617],{"className":2616},[761],[572,2618,2090],{"className":2619},[2468],[572,2621,601],{"className":2622},[761],[572,2624],{"className":2625,"style":801},[649],[572,2627,621],{"className":2628},[805],[572,2630],{"className":2631,"style":801},[649],[572,2633,2635,2639,2721,2724,2727],{"className":2634},[752],[572,2636],{"className":2637,"style":2638},[756],"height:1.2422em;vertical-align:-0.345em;",[572,2640,2642,2645,2718],{"className":2641},[761],[572,2643],{"className":2644},[765,766],[572,2646,2648],{"className":2647},[596],[572,2649,2651,2709],{"className":2650},[773,774],[572,2652,2654,2706],{"className":2653},[778],[572,2655,2658,2673,2681],{"className":2656,"style":2657},[782],"height:0.8972em;",[572,2659,2661,2664],{"style":2660},"top:-2.655em;",[572,2662],{"className":2663,"style":791},[790],[572,2665,2667],{"className":2666},[940,941,942,943],[572,2668,2670],{"className":2669},[761,943],[572,2671,633],{"className":2672},[761,943],[572,2674,2675,2678],{"style":815},[572,2676],{"className":2677,"style":791},[790],[572,2679],{"className":2680,"style":823},[822],[572,2682,2684,2687],{"style":2683},"top:-3.4461em;",[572,2685],{"className":2686,"style":791},[790],[572,2688,2690],{"className":2689},[940,941,942,943],[572,2691,2693,2696,2702],{"className":2692},[761,943],[572,2694,687],{"className":2695},[761,943],[572,2697,2699],{"className":2698},[761,943],[572,2700,2090],{"className":2701},[2468,943],[572,2703,2705],{"className":2704},[761,943],"01",[572,2707,840],{"className":2708},[839],[572,2710,2712],{"className":2711},[778],[572,2713,2716],{"className":2714,"style":2715},[782],"height:0.345em;",[572,2717],{},[572,2719],{"className":2720},[853,766],[572,2722],{"className":2723,"style":801},[649],[572,2725,609],{"className":2726},[805],[572,2728],{"className":2729,"style":801},[649],[572,2731,2733,2736,2814,2817,2820],{"className":2732},[752],[572,2734],{"className":2735,"style":2638},[756],[572,2737,2739,2742,2811],{"className":2738},[761],[572,2740],{"className":2741},[765,766],[572,2743,2745],{"className":2744},[596],[572,2746,2748,2803],{"className":2747},[773,774],[572,2749,2751,2800],{"className":2750},[778],[572,2752,2754,2768,2776],{"className":2753,"style":2657},[782],[572,2755,2756,2759],{"style":2660},[572,2757],{"className":2758,"style":791},[790],[572,2760,2762],{"className":2761},[940,941,942,943],[572,2763,2765],{"className":2764},[761,943],[572,2766,642],{"className":2767},[761,943],[572,2769,2770,2773],{"style":815},[572,2771],{"className":2772,"style":791},[790],[572,2774],{"className":2775,"style":823},[822],[572,2777,2778,2781],{"style":2683},[572,2779],{"className":2780,"style":791},[790],[572,2782,2784],{"className":2783},[940,941,942,943],[572,2785,2787,2790,2796],{"className":2786},[761,943],[572,2788,687],{"className":2789},[761,943],[572,2791,2793],{"className":2792},[761,943],[572,2794,2090],{"className":2795},[2468,943],[572,2797,2799],{"className":2798},[761,943],"001",[572,2801,840],{"className":2802},[839],[572,2804,2806],{"className":2805},[778],[572,2807,2809],{"className":2808,"style":2715},[782],[572,2810],{},[572,2812],{"className":2813},[853,766],[572,2815],{"className":2816,"style":857},[649],[572,2818,2594],{"className":2819},[861],[572,2821],{"className":2822,"style":857},[649],[572,2824,2826,2829,2832,2838],{"className":2825},[752],[572,2827],{"className":2828,"style":2610},[756],[572,2830,687],{"className":2831},[761],[572,2833,2835],{"className":2834},[761],[572,2836,2090],{"className":2837},[2468],[572,2839,2841],{"className":2840},[761],"095333",". Der genaue Wert ist ",[572,2844,2846,2861],{"className":2845},[579],[572,2847,2849],{"className":2848},[583],[585,2850,2851],{"xmlns":587},[590,2852,2853,2858],{},[593,2854,2855],{},[599,2856,2857],{},"0,095310",[740,2859,2860],{"encoding":742},"0{,}095310",[572,2862,2864],{"className":2863,"ariaHidden":748},[747],[572,2865,2867,2870,2873,2879],{"className":2866},[752],[572,2868],{"className":2869,"style":2610},[756],[572,2871,687],{"className":2872},[761],[572,2874,2876],{"className":2875},[761],[572,2877,2090],{"className":2878},[2468],[572,2880,2882],{"className":2881},[761],"095310",[564,2884,2885,2935,2936,2965,2966,1606],{},[572,2886,2888,2905],{"className":2887},[579],[572,2889,2891],{"className":2890},[583],[585,2892,2893],{"xmlns":587},[590,2894,2895,2903],{},[593,2896,2897,2899,2901],{},[611,2898,673],{},[607,2900,616],{},[599,2902,601],{},[740,2904,1529],{"encoding":742},[572,2906,2908,2926],{"className":2907,"ariaHidden":748},[747],[572,2909,2911,2914,2917,2920,2923],{"className":2910},[752],[572,2912],{"className":2913,"style":1539},[756],[572,2915,673],{"className":2916},[761,812],[572,2918],{"className":2919,"style":857},[649],[572,2921,616],{"className":2922},[861],[572,2924],{"className":2925,"style":857},[649],[572,2927,2929,2932],{"className":2928},[752],[572,2930],{"className":2931,"style":1498},[756],[572,2933,601],{"className":2934},[761],": Die alternierende harmonische Reihe konvergiert sehr langsam. Nach ",[572,2937,2939,2953],{"className":2938},[579],[572,2940,2942],{"className":2941},[583],[585,2943,2944],{"xmlns":587},[590,2945,2946,2951],{},[593,2947,2948],{},[599,2949,2950],{},"1000",[740,2952,2950],{"encoding":742},[572,2954,2956],{"className":2955,"ariaHidden":748},[747],[572,2957,2959,2962],{"className":2958},[752],[572,2960],{"className":2961,"style":1498},[756],[572,2963,2950],{"className":2964},[761]," Gliedern stimmen erst drei Nachkommastellen, ",[572,2967,2969,2992],{"className":2968},[579],[572,2970,2972],{"className":2971},[583],[585,2973,2974],{"xmlns":587},[590,2975,2976,2989],{},[593,2977,2978,2980,2982,2984,2986],{},[611,2979,659],{},[607,2981,662],{},[599,2983,633],{},[607,2985,2594],{},[599,2987,2988],{},"0,693",[740,2990,2991],{"encoding":742},"\\ln 2 \\approx 0{,}693",[572,2993,2995,3019],{"className":2994,"ariaHidden":748},[747],[572,2996,2998,3001,3004,3007,3010,3013,3016],{"className":2997},[752],[572,2999],{"className":3000,"style":1596},[756],[572,3002,659],{"className":3003},[1037],[572,3005],{"className":3006,"style":1142},[649],[572,3008,633],{"className":3009},[761],[572,3011],{"className":3012,"style":857},[649],[572,3014,2594],{"className":3015},[861],[572,3017],{"className":3018,"style":857},[649],[572,3020,3022,3025,3028,3034],{"className":3021},[752],[572,3023],{"className":3024,"style":2610},[756],[572,3026,687],{"className":3027},[761],[572,3029,3031],{"className":3030},[761],[572,3032,2090],{"className":3033},[2468],[572,3035,3037],{"className":3036},[761],"693",[564,3039,3040,3041,3189,3190,2005],{},"Schneller geht es mit ",[572,3042,3044,3078],{"className":3043},[579],[572,3045,3047],{"className":3046},[583],[585,3048,3049],{"xmlns":587},[590,3050,3051,3075],{},[593,3052,3053,3071,3073],{},[596,3054,3055,3063],{},[593,3056,3057,3059,3061],{},[599,3058,601],{},[607,3060,609],{},[611,3062,673],{},[593,3064,3065,3067,3069],{},[599,3066,601],{},[607,3068,621],{},[611,3070,673],{},[607,3072,616],{},[599,3074,633],{},[740,3076,3077],{"encoding":742},"\\frac{1 + x}{1 - x} = 2",[572,3079,3081,3180],{"className":3080,"ariaHidden":748},[747],[572,3082,3084,3088,3171,3174,3177],{"className":3083},[752],[572,3085],{"className":3086,"style":3087},[756],"height:1.2484em;vertical-align:-0.4033em;",[572,3089,3091,3094,3168],{"className":3090},[761],[572,3092],{"className":3093},[765,766],[572,3095,3097],{"className":3096},[596],[572,3098,3100,3159],{"className":3099},[773,774],[572,3101,3103,3156],{"className":3102},[778],[572,3104,3107,3127,3135],{"className":3105,"style":3106},[782],"height:0.8451em;",[572,3108,3109,3112],{"style":2660},[572,3110],{"className":3111,"style":791},[790],[572,3113,3115],{"className":3114},[940,941,942,943],[572,3116,3118,3121,3124],{"className":3117},[761,943],[572,3119,601],{"className":3120},[761,943],[572,3122,621],{"className":3123},[805,943],[572,3125,673],{"className":3126},[761,812,943],[572,3128,3129,3132],{"style":815},[572,3130],{"className":3131,"style":791},[790],[572,3133],{"className":3134,"style":823},[822],[572,3136,3138,3141],{"style":3137},"top:-3.394em;",[572,3139],{"className":3140,"style":791},[790],[572,3142,3144],{"className":3143},[940,941,942,943],[572,3145,3147,3150,3153],{"className":3146},[761,943],[572,3148,601],{"className":3149},[761,943],[572,3151,609],{"className":3152},[805,943],[572,3154,673],{"className":3155},[761,812,943],[572,3157,840],{"className":3158},[839],[572,3160,3162],{"className":3161},[778],[572,3163,3166],{"className":3164,"style":3165},[782],"height:0.4033em;",[572,3167],{},[572,3169],{"className":3170},[853,766],[572,3172],{"className":3173,"style":857},[649],[572,3175,616],{"className":3176},[861],[572,3178],{"className":3179,"style":857},[649],[572,3181,3183,3186],{"className":3182},[752],[572,3184],{"className":3185,"style":1498},[756],[572,3187,633],{"className":3188},[761],", also ",[572,3191,3193,3215],{"className":3192},[579],[572,3194,3196],{"className":3195},[583],[585,3197,3198],{"xmlns":587},[590,3199,3200,3212],{},[593,3201,3202,3204,3206],{},[611,3203,673],{},[607,3205,616],{},[596,3207,3208,3210],{},[599,3209,601],{},[599,3211,642],{},[740,3213,3214],{"encoding":742},"x = \\frac{1}{3}",[572,3216,3218,3236],{"className":3217,"ariaHidden":748},[747],[572,3219,3221,3224,3227,3230,3233],{"className":3220},[752],[572,3222],{"className":3223,"style":1539},[756],[572,3225,673],{"className":3226},[761,812],[572,3228],{"className":3229,"style":857},[649],[572,3231,616],{"className":3232},[861],[572,3234],{"className":3235,"style":857},[649],[572,3237,3239,3243],{"className":3238},[752],[572,3240],{"className":3241,"style":3242},[756],"height:1.1901em;vertical-align:-0.345em;",[572,3244,3246,3249,3308],{"className":3245},[761],[572,3247],{"className":3248},[765,766],[572,3250,3252],{"className":3251},[596],[572,3253,3255,3300],{"className":3254},[773,774],[572,3256,3258,3297],{"className":3257},[778],[572,3259,3261,3275,3283],{"className":3260,"style":3106},[782],[572,3262,3263,3266],{"style":2660},[572,3264],{"className":3265,"style":791},[790],[572,3267,3269],{"className":3268},[940,941,942,943],[572,3270,3272],{"className":3271},[761,943],[572,3273,642],{"className":3274},[761,943],[572,3276,3277,3280],{"style":815},[572,3278],{"className":3279,"style":791},[790],[572,3281],{"className":3282,"style":823},[822],[572,3284,3285,3288],{"style":3137},[572,3286],{"className":3287,"style":791},[790],[572,3289,3291],{"className":3290},[940,941,942,943],[572,3292,3294],{"className":3293},[761,943],[572,3295,601],{"className":3296},[761,943],[572,3298,840],{"className":3299},[839],[572,3301,3303],{"className":3302},[778],[572,3304,3306],{"className":3305,"style":2715},[782],[572,3307],{},[572,3309],{"className":3310},[853,766],[572,3312,3314],{"className":3313},[575],[572,3315,3317,3389],{"className":3316},[579],[572,3318,3320],{"className":3319},[583],[585,3321,3322],{"xmlns":587,"display":588},[590,3323,3324,3386],{},[593,3325,3326,3328,3330,3332,3334,3336,3381,3383],{},[611,3327,659],{},[607,3329,662],{},[599,3331,633],{},[607,3333,616],{},[599,3335,633],{},[593,3337,3338,3340,3346,3348,3355,3357,3364,3366,3373,3375,3377,3379],{},[607,3339,666],{"fence":748},[596,3341,3342,3344],{},[599,3343,601],{},[599,3345,642],{},[607,3347,609],{},[596,3349,3350,3352],{},[599,3351,601],{},[599,3353,3354],{},"81",[607,3356,609],{},[596,3358,3359,3361],{},[599,3360,601],{},[599,3362,3363],{},"1215",[607,3365,609],{},[596,3367,3368,3370],{},[599,3369,601],{},[599,3371,3372],{},"15309",[607,3374,609],{},[607,3376,647],{},[2083,3378,2085],{},[607,3380,676],{"fence":748},[607,3382,2594],{},[599,3384,3385],{},"0,69313",[740,3387,3388],{"encoding":742},"\\ln 2 = 2\\left( \\frac{1}{3} + \\frac{1}{81} + \\frac{1}{1215} + \\frac{1}{15309} + \\cdots \\right) \\approx 0{,}69313",[572,3390,3392,3416,3743],{"className":3391,"ariaHidden":748},[747],[572,3393,3395,3398,3401,3404,3407,3410,3413],{"className":3394},[752],[572,3396],{"className":3397,"style":1596},[756],[572,3399,659],{"className":3400},[1037],[572,3402],{"className":3403,"style":1142},[649],[572,3405,633],{"className":3406},[761],[572,3408],{"className":3409,"style":857},[649],[572,3411,616],{"className":3412},[861],[572,3414],{"className":3415,"style":857},[649],[572,3417,3419,3423,3426,3429,3734,3737,3740],{"className":3418},[752],[572,3420],{"className":3421,"style":3422},[756],"height:2.4em;vertical-align:-0.95em;",[572,3424,633],{"className":3425},[761],[572,3427],{"className":3428,"style":1142},[649],[572,3430,3432,3438,3500,3503,3506,3509,3571,3574,3577,3580,3642,3645,3648,3651,3713,3716,3719,3722,3725,3728],{"className":3431},[1010],[572,3433,3435],{"className":3434,"style":2239},[765,2238],[572,3436,666],{"className":3437},[2243,942],[572,3439,3441,3444,3497],{"className":3440},[761],[572,3442],{"className":3443},[765,766],[572,3445,3447],{"className":3446},[596],[572,3448,3450,3489],{"className":3449},[773,774],[572,3451,3453,3486],{"className":3452},[778],[572,3454,3456,3467,3475],{"className":3455,"style":783},[782],[572,3457,3458,3461],{"style":786},[572,3459],{"className":3460,"style":791},[790],[572,3462,3464],{"className":3463},[761],[572,3465,642],{"className":3466},[761],[572,3468,3469,3472],{"style":815},[572,3470],{"className":3471,"style":791},[790],[572,3473],{"className":3474,"style":823},[822],[572,3476,3477,3480],{"style":826},[572,3478],{"className":3479,"style":791},[790],[572,3481,3483],{"className":3482},[761],[572,3484,601],{"className":3485},[761],[572,3487,840],{"className":3488},[839],[572,3490,3492],{"className":3491},[778],[572,3493,3495],{"className":3494,"style":1342},[782],[572,3496],{},[572,3498],{"className":3499},[853,766],[572,3501],{"className":3502,"style":801},[649],[572,3504,609],{"className":3505},[805],[572,3507],{"className":3508,"style":801},[649],[572,3510,3512,3515,3568],{"className":3511},[761],[572,3513],{"className":3514},[765,766],[572,3516,3518],{"className":3517},[596],[572,3519,3521,3560],{"className":3520},[773,774],[572,3522,3524,3557],{"className":3523},[778],[572,3525,3527,3538,3546],{"className":3526,"style":783},[782],[572,3528,3529,3532],{"style":786},[572,3530],{"className":3531,"style":791},[790],[572,3533,3535],{"className":3534},[761],[572,3536,3354],{"className":3537},[761],[572,3539,3540,3543],{"style":815},[572,3541],{"className":3542,"style":791},[790],[572,3544],{"className":3545,"style":823},[822],[572,3547,3548,3551],{"style":826},[572,3549],{"className":3550,"style":791},[790],[572,3552,3554],{"className":3553},[761],[572,3555,601],{"className":3556},[761],[572,3558,840],{"className":3559},[839],[572,3561,3563],{"className":3562},[778],[572,3564,3566],{"className":3565,"style":1342},[782],[572,3567],{},[572,3569],{"className":3570},[853,766],[572,3572],{"className":3573,"style":801},[649],[572,3575,609],{"className":3576},[805],[572,3578],{"className":3579,"style":801},[649],[572,3581,3583,3586,3639],{"className":3582},[761],[572,3584],{"className":3585},[765,766],[572,3587,3589],{"className":3588},[596],[572,3590,3592,3631],{"className":3591},[773,774],[572,3593,3595,3628],{"className":3594},[778],[572,3596,3598,3609,3617],{"className":3597,"style":783},[782],[572,3599,3600,3603],{"style":786},[572,3601],{"className":3602,"style":791},[790],[572,3604,3606],{"className":3605},[761],[572,3607,3363],{"className":3608},[761],[572,3610,3611,3614],{"style":815},[572,3612],{"className":3613,"style":791},[790],[572,3615],{"className":3616,"style":823},[822],[572,3618,3619,3622],{"style":826},[572,3620],{"className":3621,"style":791},[790],[572,3623,3625],{"className":3624},[761],[572,3626,601],{"className":3627},[761],[572,3629,840],{"className":3630},[839],[572,3632,3634],{"className":3633},[778],[572,3635,3637],{"className":3636,"style":1342},[782],[572,3638],{},[572,3640],{"className":3641},[853,766],[572,3643],{"className":3644,"style":801},[649],[572,3646,609],{"className":3647},[805],[572,3649],{"className":3650,"style":801},[649],[572,3652,3654,3657,3710],{"className":3653},[761],[572,3655],{"className":3656},[765,766],[572,3658,3660],{"className":3659},[596],[572,3661,3663,3702],{"className":3662},[773,774],[572,3664,3666,3699],{"className":3665},[778],[572,3667,3669,3680,3688],{"className":3668,"style":783},[782],[572,3670,3671,3674],{"style":786},[572,3672],{"className":3673,"style":791},[790],[572,3675,3677],{"className":3676},[761],[572,3678,3372],{"className":3679},[761],[572,3681,3682,3685],{"style":815},[572,3683],{"className":3684,"style":791},[790],[572,3686],{"className":3687,"style":823},[822],[572,3689,3690,3693],{"style":826},[572,3691],{"className":3692,"style":791},[790],[572,3694,3696],{"className":3695},[761],[572,3697,601],{"className":3698},[761],[572,3700,840],{"className":3701},[839],[572,3703,3705],{"className":3704},[778],[572,3706,3708],{"className":3707,"style":1342},[782],[572,3709],{},[572,3711],{"className":3712},[853,766],[572,3714],{"className":3715,"style":801},[649],[572,3717,609],{"className":3718},[805],[572,3720],{"className":3721,"style":801},[649],[572,3723,647],{"className":3724},[1010],[572,3726],{"className":3727,"style":1142},[649],[572,3729,3731],{"className":3730,"style":2239},[853,2238],[572,3732,676],{"className":3733},[2243,942],[572,3735],{"className":3736,"style":857},[649],[572,3738,2594],{"className":3739},[861],[572,3741],{"className":3742,"style":857},[649],[572,3744,3746,3749,3752,3758],{"className":3745},[752],[572,3747],{"className":3748,"style":2610},[756],[572,3750,687],{"className":3751},[761],[572,3753,3755],{"className":3754},[761],[572,3756,2090],{"className":3757},[2468],[572,3759,3761],{"className":3760},[761],"69313",[564,3763,3764,3765,1606],{},"Diese vier Glieder liegen nur zwei Einheiten der fünften Nachkommastelle neben ",[572,3766,3768,3791],{"className":3767},[579],[572,3769,3771],{"className":3770},[583],[585,3772,3773],{"xmlns":587},[590,3774,3775,3788],{},[593,3776,3777,3779,3781,3783,3785],{},[611,3778,659],{},[607,3780,662],{},[599,3782,633],{},[607,3784,2594],{},[599,3786,3787],{},"0,69315",[740,3789,3790],{"encoding":742},"\\ln 2 \\approx 0{,}69315",[572,3792,3794,3818],{"className":3793,"ariaHidden":748},[747],[572,3795,3797,3800,3803,3806,3809,3812,3815],{"className":3796},[752],[572,3798],{"className":3799,"style":1596},[756],[572,3801,659],{"className":3802},[1037],[572,3804],{"className":3805,"style":1142},[649],[572,3807,633],{"className":3808},[761],[572,3810],{"className":3811,"style":857},[649],[572,3813,2594],{"className":3814},[861],[572,3816],{"className":3817,"style":857},[649],[572,3819,3821,3824,3827,3833],{"className":3820},[752],[572,3822],{"className":3823,"style":2610},[756],[572,3825,687],{"className":3826},[761],[572,3828,3830],{"className":3829},[761],[572,3831,2090],{"className":3832},[2468],[572,3834,3836],{"className":3835},[761],"69315",[559,3838,3840],{"id":3839},"typische-fehler","Typische Fehler",[1504,3842,3843,4084,4115],{},[1507,3844,3845,3846,3946,3947,4083],{},"Die Reihe außerhalb des Konvergenzbereichs benutzen. ",[572,3847,3849,3883],{"className":3848},[579],[572,3850,3852],{"className":3851},[583],[585,3853,3854],{"xmlns":587},[590,3855,3856,3880],{},[593,3857,3858,3860,3862,3864,3866,3868,3870,3872,3874,3876,3878],{},[611,3859,659],{},[607,3861,662],{},[599,3863,642],{},[607,3865,616],{},[611,3867,659],{},[607,3869,662],{},[607,3871,666],{"stretchy":665},[599,3873,601],{},[607,3875,609],{},[599,3877,633],{},[607,3879,676],{"stretchy":665},[740,3881,3882],{"encoding":742},"\\ln 3 = \\ln(1 + 2)",[572,3884,3886,3910,3934],{"className":3885,"ariaHidden":748},[747],[572,3887,3889,3892,3895,3898,3901,3904,3907],{"className":3888},[752],[572,3890],{"className":3891,"style":1596},[756],[572,3893,659],{"className":3894},[1037],[572,3896],{"className":3897,"style":1142},[649],[572,3899,642],{"className":3900},[761],[572,3902],{"className":3903,"style":857},[649],[572,3905,616],{"className":3906},[861],[572,3908],{"className":3909,"style":857},[649],[572,3911,3913,3916,3919,3922,3925,3928,3931],{"className":3912},[752],[572,3914],{"className":3915,"style":1033},[756],[572,3917,659],{"className":3918},[1037],[572,3920,666],{"className":3921},[765],[572,3923,601],{"className":3924},[761],[572,3926],{"className":3927,"style":801},[649],[572,3929,609],{"className":3930},[805],[572,3932],{"className":3933,"style":801},[649],[572,3935,3937,3940,3943],{"className":3936},[752],[572,3938],{"className":3939,"style":1033},[756],[572,3941,633],{"className":3942},[761],[572,3944,676],{"className":3945},[853]," lässt sich so nicht berechnen, die Glieder ",[572,3948,3950,3973],{"className":3949},[579],[572,3951,3953],{"className":3952},[583],[585,3954,3955],{"xmlns":587},[590,3956,3957,3970],{},[593,3958,3959],{},[596,3960,3961,3968],{},[627,3962,3963,3965],{},[599,3964,633],{},[611,3966,3967],{},"n",[611,3969,3967],{},[740,3971,3972],{"encoding":742},"\\frac{2^n}{n}",[572,3974,3976],{"className":3975,"ariaHidden":748},[747],[572,3977,3979,3983],{"className":3978},[752],[572,3980],{"className":3981,"style":3982},[756],"height:1.256em;vertical-align:-0.345em;",[572,3984,3986,3989,4080],{"className":3985},[761],[572,3987],{"className":3988},[765,766],[572,3990,3992],{"className":3991},[596],[572,3993,3995,4072],{"className":3994},[773,774],[572,3996,3998,4069],{"className":3997},[778],[572,3999,4002,4016,4024],{"className":4000,"style":4001},[782],"height:0.911em;",[572,4003,4004,4007],{"style":2660},[572,4005],{"className":4006,"style":791},[790],[572,4008,4010],{"className":4009},[940,941,942,943],[572,4011,4013],{"className":4012},[761,943],[572,4014,3967],{"className":4015},[761,812,943],[572,4017,4018,4021],{"style":815},[572,4019],{"className":4020,"style":791},[790],[572,4022],{"className":4023,"style":823},[822],[572,4025,4026,4029],{"style":3137},[572,4027],{"className":4028,"style":791},[790],[572,4030,4032],{"className":4031},[940,941,942,943],[572,4033,4035],{"className":4034},[761,943],[572,4036,4038,4041],{"className":4037},[761,943],[572,4039,633],{"className":4040},[761,943],[572,4042,4044],{"className":4043},[919],[572,4045,4047],{"className":4046},[773],[572,4048,4050],{"className":4049},[778],[572,4051,4054],{"className":4052,"style":4053},[782],"height:0.7385em;",[572,4055,4057,4061],{"style":4056},"top:-2.931em;margin-right:0.0714em;",[572,4058],{"className":4059,"style":4060},[790],"height:2.5em;",[572,4062,4066],{"className":4063},[940,4064,4065,943],"reset-size3","size1",[572,4067,3967],{"className":4068},[761,812,943],[572,4070,840],{"className":4071},[839],[572,4073,4075],{"className":4074},[778],[572,4076,4078],{"className":4077,"style":2715},[782],[572,4079],{},[572,4081],{"className":4082},[853,766]," wachsen.",[1507,4085,4086,4087,1606],{},"Fakultäten in den Nenner schreiben wie bei der Exponentialreihe. Hier steht nur ",[572,4088,4090,4103],{"className":4089},[579],[572,4091,4093],{"className":4092},[583],[585,4094,4095],{"xmlns":587},[590,4096,4097,4101],{},[593,4098,4099],{},[611,4100,3967],{},[740,4102,3967],{"encoding":742},[572,4104,4106],{"className":4105,"ariaHidden":748},[747],[572,4107,4109,4112],{"className":4108},[752],[572,4110],{"className":4111,"style":1539},[756],[572,4113,3967],{"className":4114},[761,812],[1507,4116,4117,4118,4156,4157,4224,4225,4272,4273,4333,4334,1606],{},"Die Reihe für ",[572,4119,4121,4138],{"className":4120},[579],[572,4122,4124],{"className":4123},[583],[585,4125,4126],{"xmlns":587},[590,4127,4128,4136],{},[593,4129,4130,4132,4134],{},[611,4131,659],{},[607,4133,662],{},[611,4135,673],{},[740,4137,1819],{"encoding":742},[572,4139,4141],{"className":4140,"ariaHidden":748},[747],[572,4142,4144,4147,4150,4153],{"className":4143},[752],[572,4145],{"className":4146,"style":1596},[756],[572,4148,659],{"className":4149},[1037],[572,4151],{"className":4152,"style":1142},[649],[572,4154,673],{"className":4155},[761,812]," statt für ",[572,4158,4160,4185],{"className":4159},[579],[572,4161,4163],{"className":4162},[583],[585,4164,4165],{"xmlns":587},[590,4166,4167,4183],{},[593,4168,4169,4171,4173,4175,4177,4179,4181],{},[611,4170,659],{},[607,4172,662],{},[607,4174,666],{"stretchy":665},[599,4176,601],{},[607,4178,609],{},[611,4180,673],{},[607,4182,676],{"stretchy":665},[740,4184,1896],{"encoding":742},[572,4186,4188,4212],{"className":4187,"ariaHidden":748},[747],[572,4189,4191,4194,4197,4200,4203,4206,4209],{"className":4190},[752],[572,4192],{"className":4193,"style":1033},[756],[572,4195,659],{"className":4196},[1037],[572,4198,666],{"className":4199},[765],[572,4201,601],{"className":4202},[761],[572,4204],{"className":4205,"style":801},[649],[572,4207,609],{"className":4208},[805],[572,4210],{"className":4211,"style":801},[649],[572,4213,4215,4218,4221],{"className":4214},[752],[572,4216],{"className":4217,"style":1033},[756],[572,4219,673],{"className":4220},[761,812],[572,4222,676],{"className":4223},[853]," halten. Für ",[572,4226,4228,4245],{"className":4227},[579],[572,4229,4231],{"className":4230},[583],[585,4232,4233],{"xmlns":587},[590,4234,4235,4243],{},[593,4236,4237,4239,4241],{},[611,4238,659],{},[607,4240,662],{},[599,4242,2526],{},[740,4244,2529],{"encoding":742},[572,4246,4248],{"className":4247,"ariaHidden":748},[747],[572,4249,4251,4254,4257,4260,4263,4269],{"className":4250},[752],[572,4252],{"className":4253,"style":2539},[756],[572,4255,659],{"className":4256},[1037],[572,4258],{"className":4259,"style":1142},[649],[572,4261,601],{"className":4262},[761],[572,4264,4266],{"className":4265},[761],[572,4267,2090],{"className":4268},[2468],[572,4270,601],{"className":4271},[761]," setzt man ",[572,4274,4276,4294],{"className":4275},[579],[572,4277,4279],{"className":4278},[583],[585,4280,4281],{"xmlns":587},[590,4282,4283,4291],{},[593,4284,4285,4287,4289],{},[611,4286,673],{},[607,4288,616],{},[599,4290,2573],{},[740,4292,4293],{"encoding":742},"x = 0{,}1",[572,4295,4297,4315],{"className":4296,"ariaHidden":748},[747],[572,4298,4300,4303,4306,4309,4312],{"className":4299},[752],[572,4301],{"className":4302,"style":1539},[756],[572,4304,673],{"className":4305},[761,812],[572,4307],{"className":4308,"style":857},[649],[572,4310,616],{"className":4311},[861],[572,4313],{"className":4314,"style":857},[649],[572,4316,4318,4321,4324,4330],{"className":4317},[752],[572,4319],{"className":4320,"style":2610},[756],[572,4322,687],{"className":4323},[761],[572,4325,4327],{"className":4326},[761],[572,4328,2090],{"className":4329},[2468],[572,4331,601],{"className":4332},[761]," ein, nicht ",[572,4335,4337,4355],{"className":4336},[579],[572,4338,4340],{"className":4339},[583],[585,4341,4342],{"xmlns":587},[590,4343,4344,4352],{},[593,4345,4346,4348,4350],{},[611,4347,673],{},[607,4349,616],{},[599,4351,2526],{},[740,4353,4354],{"encoding":742},"x = 1{,}1",[572,4356,4358,4376],{"className":4357,"ariaHidden":748},[747],[572,4359,4361,4364,4367,4370,4373],{"className":4360},[752],[572,4362],{"className":4363,"style":1539},[756],[572,4365,673],{"className":4366},[761,812],[572,4368],{"className":4369,"style":857},[649],[572,4371,616],{"className":4372},[861],[572,4374],{"className":4375,"style":857},[649],[572,4377,4379,4382,4385,4391],{"className":4378},[752],[572,4380],{"className":4381,"style":2610},[756],[572,4383,601],{"className":4384},[761],[572,4386,4388],{"className":4387},[761],[572,4389,2090],{"className":4390},[2468],[572,4392,601],{"className":4393},[761],{"title":4395,"searchDepth":4396,"depth":4396,"links":4397},"",2,[4398,4399,4400],{"id":561,"depth":4396,"text":562},{"id":2504,"depth":4396,"text":2505},{"id":3839,"depth":4396,"text":3840},[4402,4407,4410,4413,4416,4419,4421,4424,4427,4430],{"lhs":4403,"rhs":4404,"where":4405},"sum(map(1:60, f(n) = (-1)^(n + 1) * x^n\u002Fn))","log(1 + x)",{"x":4406},0.5,{"lhs":4403,"rhs":4404,"where":4408},{"x":4409},-0.3,{"lhs":4411,"rhs":4412},"0.1 - 0.1^2\u002F2 + 0.1^3\u002F3","0.09533333333333333",{"lhs":4414,"rhs":4415},"round(log(1.1), 6)","0.09531",{"lhs":4417,"rhs":4418},"round(sum((-1).^((1:1000) + 1) .\u002F (1:1000)), 3)","0.693",{"lhs":4420,"rhs":4418},"round(log(2), 3)",{"lhs":4422,"rhs":4423},"log((1 + 1\u002F3)\u002F(1 - 1\u002F3))","log(2)",{"lhs":4425,"rhs":4426},"round(2*(1\u002F3 + 1\u002F81 + 1\u002F1215 + 1\u002F15309), 5)","0.69313",{"lhs":4428,"rhs":4429},"round(log(2), 5)","0.69315",{"lhs":4431,"rhs":4432},"round(sum(map(0:999, f(k) = 1\u002F(1 + 0.5*(k + 0.5)\u002F1000)))*0.5\u002F1000, 6)","round(log(1.5), 6)","-1 \u003C x \\leq 1","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmo>−\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003Cmo><\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo>≤\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">-1 < x \\leq 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:0.7278em;vertical-align:-0.0833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">−\u003C\u002Fspan>\u003Cspan class=\"mord\">1\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:0.7719em;vertical-align:-0.136em;\">\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:0.6444em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","log-series","\\ln(1 + x) = \\sum_{n=1}^{\\infty} (-1)^{n+1} \\frac{x^n}{n} = x - \\frac{x^2}{2} + \\frac{x^3}{3} - \\frac{x^4}{4} + \\cdots","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmi>ln\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003Cmo>+\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmunderover>\u003Cmo>∑\u003C\u002Fmo>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cmi mathvariant=\"normal\">∞\u003C\u002Fmi>\u003C\u002Fmunderover>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmo>−\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003Cmsup>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>+\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003C\u002Fmsup>\u003Cmfrac>\u003Cmsup>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsup>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmfrac>\u003Cmo>=\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo>−\u003C\u002Fmo>\u003Cmfrac>\u003Cmsup>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmfrac>\u003Cmo>+\u003C\u002Fmo>\u003Cmfrac>\u003Cmsup>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>3\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmn>3\u003C\u002Fmn>\u003C\u002Fmfrac>\u003Cmo>−\u003C\u002Fmo>\u003Cmfrac>\u003Cmsup>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>4\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmn>4\u003C\u002Fmn>\u003C\u002Fmfrac>\u003Cmo>+\u003C\u002Fmo>\u003Cmo>⋯\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\ln(1 + x) = \\sum_{n=1}^{\\infty} (-1)^{n+1} \\frac{x^n}{n} = x - \\frac{x^2}{2} + \\frac{x^3}{3} - \\frac{x^4}{4} + \\cdots\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:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mop\">ln\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord\">1\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 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:2.9185em;vertical-align:-1.2671em;\">\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 style=\"top:-1.8829em;margin-left:0em;\">\u003Cspan class=\"pstrut\" style=\"height:3.05em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003Cspan class=\"mrel mtight\">=\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.05em;\">\u003Cspan class=\"pstrut\" style=\"height:3.05em;\">\u003C\u002Fspan>\u003Cspan>\u003Cspan class=\"mop op-symbol large-op\">∑\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-4.3em;margin-left:0em;\">\u003Cspan class=\"pstrut\" style=\"height:3.05em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\">∞\u003C\u002Fspan>\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:1.2671em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord\">−\u003C\u002Fspan>\u003Cspan class=\"mord\">1\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 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class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.6644em;\">\u003Cspan style=\"top:-3.063em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" 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>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan 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style=\"height:2.1771em;vertical-align:-0.686em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.4911em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.23em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan 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