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x_0}",[573,1187,1189,1285],{"className":1188,"ariaHidden":612},[611],[573,1190,1192,1196,1230,1233,1273,1276,1279,1282],{"className":1191},[616],[573,1193],{"className":1194,"style":1195},[620],"height:1.0519em;vertical-align:-0.25em;",[573,1197,1199,1202],{"className":1198},[625],[573,1200,674],{"className":1201,"style":690},[625,626],[573,1203,1205],{"className":1204},[734],[573,1206,1208],{"className":1207},[738],[573,1209,1211],{"className":1210},[743],[573,1212,1215],{"className":1213,"style":1214},[747],"height:0.8019em;",[573,1216,1218,1221],{"style":1217},"top:-3.113em;margin-right:0.05em;",[573,1219],{"className":1220,"style":756},[755],[573,1222,1224],{"className":1223},[760,761,762,763],[573,1225,1227],{"className":1226},[625,763],[573,1228,807],{"className":1229},[625,763],[573,1231,811],{"className":1232},[871],[573,1234,1236,1239],{"className":1235},[625],[573,1237,709],{"className":1238},[625,626],[573,1240,1242],{"className":1241},[734],[573,1243,1245,1265],{"className":1244},[738,739],[573,1246,1248,1262],{"className":1247},[743],[573,1249,1251],{"className":1250,"style":748},[747],[573,1252,1253,1256],{"style":751},[573,1254],{"className":1255,"style":756},[755],[573,1257,1259],{"className":1258},[760,761,762,763],[573,1260,602],{"className":1261},[625,763],[573,1263,771],{"className":1264},[770],[573,1266,1268],{"className":1267},[743],[573,1269,1271],{"className":1270,"style":778},[747],[573,1272],{},[573,1274,820],{"className":1275},[915],[573,1277],{"className":1278,"style":631},[630],[573,1280,1119],{"className":1281},[635],[573,1283],{"className":1284,"style":631},[630],[573,1286,1288,1292,1394,1398],{"className":1287},[616],[573,1289],{"className":1290,"style":1291},[620],"height:2.263em;vertical-align:-0.836em;",[573,1293,1297],{"className":1294},[1295,1296],"mop","op-limits",[573,1298,1300,1385],{"className":1299},[738,739],[573,1301,1303,1382],{"className":1302},[743],[573,1304,1306,1371],{"className":1305,"style":621},[747],[573,1307,1309,1313],{"style":1308},"top:-2.4em;margin-left:0em;",[573,1310],{"className":1311,"style":1312},[755],"height:3em;",[573,1314,1316],{"className":1315},[760,761,762,763],[573,1317,1319,1322,1325],{"className":1318},[625,763],[573,1320,709],{"className":1321},[625,626,763],[573,1323,598],{"className":1324},[635,763],[573,1326,1328,1331],{"className":1327},[625,763],[573,1329,709],{"className":1330},[625,626,763],[573,1332,1334],{"className":1333},[734],[573,1335,1337,1362],{"className":1336},[738,739],[573,1338,1340,1359],{"className":1339},[743],[573,1341,1344],{"className":1342,"style":1343},[747],"height:0.3173em;",[573,1345,1347,1351],{"style":1346},"top:-2.357em;margin-left:0em;margin-right:0.0714em;",[573,1348],{"className":1349,"style":1350},[755],"height:2.5em;",[573,1352,1356],{"className":1353},[760,1354,1355,763],"reset-size3","size1",[573,1357,602],{"className":1358},[625,763],[573,1360,771],{"className":1361},[770],[573,1363,1365],{"className":1364},[743],[573,1366,1369],{"className":1367,"style":1368},[747],"height:0.143em;",[573,1370],{},[573,1372,1374,1377],{"style":1373},"top:-3em;",[573,1375],{"className":1376,"style":1312},[755],[573,1378,1379],{},[573,1380,1127],{"className":1381},[1295],[573,1383,771],{"className":1384},[770],[573,1386,1388],{"className":1387},[743],[573,1389,1392],{"className":1390,"style":1391},[747],"height:0.8001em;",[573,1393],{},[573,1395],{"className":1396,"style":1397},[630],"margin-right:0.1667em;",[573,1399,1401,1405,1583],{"className":1400},[625],[573,1402],{"className":1403},[871,1404],"nulldelimiter",[573,1406,1408],{"className":1407},[1144],[573,1409,1411,1574],{"className":1410},[738,739],[573,1412,1414,1571],{"className":1413},[743],[573,1415,1418,1481,1492],{"className":1416,"style":1417},[747],"height:1.427em;",[573,1419,1421,1424],{"style":1420},"top:-2.314em;",[573,1422],{"className":1423,"style":1312},[755],[573,1425,1427,1430,1434,1438,1441],{"className":1426},[625],[573,1428,709],{"className":1429},[625,626],[573,1431],{"className":1432,"style":1433},[630],"margin-right:0.2222em;",[573,1435,1158],{"className":1436},[1437],"mbin",[573,1439],{"className":1440,"style":1433},[630],[573,1442,1444,1447],{"className":1443},[625],[573,1445,709],{"className":1446},[625,626],[573,1448,1450],{"className":1449},[734],[573,1451,1453,1473],{"className":1452},[738,739],[573,1454,1456,1470],{"className":1455},[743],[573,1457,1459],{"className":1458,"style":748},[747],[573,1460,1461,1464],{"style":751},[573,1462],{"className":1463,"style":756},[755],[573,1465,1467],{"className":1466},[760,761,762,763],[573,1468,602],{"className":1469},[625,763],[573,1471,771],{"className":1472},[770],[573,1474,1476],{"className":1475},[743],[573,1477,1479],{"className":1478,"style":778},[747],[573,1480],{},[573,1482,1484,1487],{"style":1483},"top:-3.23em;",[573,1485],{"className":1486,"style":1312},[755],[573,1488],{"className":1489,"style":1491},[1490],"frac-line","border-bottom-width:0.04em;",[573,1493,1495,1498],{"style":1494},"top:-3.677em;",[573,1496],{"className":1497,"style":1312},[755],[573,1499,1501,1504,1507,1510,1513,1516,1519,1522,1525,1528,1568],{"className":1500},[625],[573,1502,674],{"className":1503,"style":690},[625,626],[573,1505,811],{"className":1506},[871],[573,1508,709],{"className":1509},[625,626],[573,1511,820],{"className":1512},[915],[573,1514],{"className":1515,"style":1433},[630],[573,1517,1158],{"className":1518},[1437],[573,1520],{"className":1521,"style":1433},[630],[573,1523,674],{"className":1524,"style":690},[625,626],[573,1526,811],{"className":1527},[871],[573,1529,1531,1534],{"className":1530},[625],[573,1532,709],{"className":1533},[625,626],[573,1535,1537],{"className":1536},[734],[573,1538,1540,1560],{"className":1539},[738,739],[573,1541,1543,1557],{"className":1542},[743],[573,1544,1546],{"className":1545,"style":748},[747],[573,1547,1548,1551],{"style":751},[573,1549],{"className":1550,"style":756},[755],[573,1552,1554],{"className":1553},[760,761,762,763],[573,1555,602],{"className":1556},[625,763],[573,1558,771],{"className":1559},[770],[573,1561,1563],{"className":1562},[743],[573,1564,1566],{"className":1565,"style":778},[747],[573,1567],{},[573,1569,820],{"className":1570},[915],[573,1572,771],{"className":1573},[770],[573,1575,1577],{"className":1576},[743],[573,1578,1581],{"className":1579,"style":1580},[747],"height:0.836em;",[573,1582],{},[573,1584],{"className":1585},[915,1404],[565,1587,1588,1589,1640,1641,1744,1745,1773],{},"Man setzt ",[573,1590,1592,1610],{"className":1591},[576],[573,1593,1595],{"className":1594},[580],[582,1596,1597],{"xmlns":584},[586,1598,1599,1607],{},[589,1600,1601,1603,1605],{},[592,1602,594],{},[596,1604,1119],{},[600,1606,602],{},[604,1608,1609],{"encoding":606},"h = 0",[573,1611,1613,1631],{"className":1612,"ariaHidden":612},[611],[573,1614,1616,1619,1622,1625,1628],{"className":1615},[616],[573,1617],{"className":1618,"style":621},[620],[573,1620,594],{"className":1621},[625,626],[573,1623],{"className":1624,"style":631},[630],[573,1626,1119],{"className":1627},[635],[573,1629],{"className":1630,"style":631},[630],[573,1632,1634,1637],{"className":1633},[616],[573,1635],{"className":1636,"style":645},[620],[573,1638,602],{"className":1639},[625]," nie direkt ein, das ergäbe ",[573,1642,1644,1662],{"className":1643},[576],[573,1645,1647],{"className":1646},[580],[582,1648,1649],{"xmlns":584},[586,1650,1651,1659],{},[589,1652,1653],{},[1144,1654,1655,1657],{},[600,1656,602],{},[600,1658,602],{},[604,1660,1661],{"encoding":606},"\\frac{0}{0}",[573,1663,1665],{"className":1664,"ariaHidden":612},[611],[573,1666,1668,1672],{"className":1667},[616],[573,1669],{"className":1670,"style":1671},[620],"height:1.1901em;vertical-align:-0.345em;",[573,1673,1675,1678,1741],{"className":1674},[625],[573,1676],{"className":1677},[871,1404],[573,1679,1681],{"className":1680},[1144],[573,1682,1684,1732],{"className":1683},[738,739],[573,1685,1687,1729],{"className":1686},[743],[573,1688,1691,1706,1714],{"className":1689,"style":1690},[747],"height:0.8451em;",[573,1692,1694,1697],{"style":1693},"top:-2.655em;",[573,1695],{"className":1696,"style":1312},[755],[573,1698,1700],{"className":1699},[760,761,762,763],[573,1701,1703],{"className":1702},[625,763],[573,1704,602],{"className":1705},[625,763],[573,1707,1708,1711],{"style":1483},[573,1709],{"className":1710,"style":1312},[755],[573,1712],{"className":1713,"style":1491},[1490],[573,1715,1717,1720],{"style":1716},"top:-3.394em;",[573,1718],{"className":1719,"style":1312},[755],[573,1721,1723],{"className":1722},[760,761,762,763],[573,1724,1726],{"className":1725},[625,763],[573,1727,602],{"className":1728},[625,763],[573,1730,771],{"className":1731},[770],[573,1733,1735],{"className":1734},[743],[573,1736,1739],{"className":1737,"style":1738},[747],"height:0.345em;",[573,1740],{},[573,1742],{"className":1743},[915,1404],". Erst vereinfacht man den Bruch so weit, dass ",[573,1746,1748,1761],{"className":1747},[576],[573,1749,1751],{"className":1750},[580],[582,1752,1753],{"xmlns":584},[586,1754,1755,1759],{},[589,1756,1757],{},[592,1758,594],{},[604,1760,594],{"encoding":606},[573,1762,1764],{"className":1763,"ariaHidden":612},[611],[573,1765,1767,1770],{"className":1766},[616],[573,1768],{"className":1769,"style":621},[620],[573,1771,594],{"className":1772},[625,626]," nicht mehr im Nenner steht.",[560,1775,1777],{"id":1776},"beispiele","Beispiele",[565,1779,1780,1781,691,1880,1083],{},"Für ",[573,1782,1784,1813],{"className":1783},[576],[573,1785,1787],{"className":1786},[580],[582,1788,1789],{"xmlns":584},[586,1790,1791,1810],{},[589,1792,1793,1795,1797,1799,1801,1803],{},[592,1794,674],{},[596,1796,811],{"stretchy":810},[592,1798,709],{},[596,1800,820],{"stretchy":810},[596,1802,1119],{},[799,1804,1805,1807],{},[592,1806,709],{},[600,1808,1809],{},"2",[604,1811,1812],{"encoding":606},"f(x) = 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= 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Der Quotient ",[573,3667,3669,3693],{"className":3668},[576],[573,3670,3672],{"className":3671},[580],[582,3673,3674],{"xmlns":584},[586,3675,3676,3690],{},[589,3677,3678],{},[1144,3679,3680,3688],{},[589,3681,3682,3684,3686],{},[592,3683,3584],{"mathvariant":805},[592,3685,594],{},[592,3687,3584],{"mathvariant":805},[592,3689,594],{},[604,3691,3692],{"encoding":606},"\\frac{|h|}{h}",[573,3694,3696],{"className":3695,"ariaHidden":612},[611],[573,3697,3699,3703],{"className":3698},[616],[573,3700],{"className":3701,"style":3702},[620],"height:1.355em;vertical-align:-0.345em;",[573,3704,3706,3709,3776],{"className":3705},[625],[573,3707],{"className":3708},[871,1404],[573,3710,3712],{"className":3711},[1144],[573,3713,3715,3768],{"className":3714},[738,739],[573,3716,3718,3765],{"className":3717},[743],[573,3719,3722,3736,3744],{"className":3720,"style":3721},[747],"height:1.01em;",[573,3723,3724,3727],{"style":1693},[573,3725],{"className":3726,"style":1312},[755],[573,3728,3730],{"className":3729},[760,761,762,763],[573,3731,3733],{"className":3732},[625,763],[573,3734,594],{"className":3735},[625,626,763],[573,3737,3738,3741],{"style":1483},[573,3739],{"className":3740,"style":1312},[755],[573,3742],{"className":3743,"style":1491},[1490],[573,3745,3747,3750],{"style":3746},"top:-3.485em;",[573,3748],{"className":3749,"style":1312},[755],[573,3751,3753],{"className":3752},[760,761,762,763],[573,3754,3756,3759,3762],{"className":3755},[625,763],[573,3757,3584],{"className":3758},[625,763],[573,3760,594],{"className":3761},[625,626,763],[573,3763,3584],{"className":3764},[625,763],[573,3766,771],{"className":3767},[770],[573,3769,3771],{"className":3770},[743],[573,3772,3774],{"className":3773,"style":1738},[747],[573,3775],{},[573,3777],{"className":3778},[915,1404]," ist für ",[573,3781,3783,3802],{"className":3782},[576],[573,3784,3786],{"className":3785},[580],[582,3787,3788],{"xmlns":584},[586,3789,3790,3799],{},[589,3791,3792,3794,3797],{},[592,3793,594],{},[596,3795,3796],{},">",[600,3798,602],{},[604,3800,3801],{"encoding":606},"h > 0",[573,3803,3805,3824],{"className":3804,"ariaHidden":612},[611],[573,3806,3808,3812,3815,3818,3821],{"className":3807},[616],[573,3809],{"className":3810,"style":3811},[620],"height:0.7335em;vertical-align:-0.0391em;",[573,3813,594],{"className":3814},[625,626],[573,3816],{"className":3817,"style":631},[630],[573,3819,3796],{"className":3820},[635],[573,3822],{"className":3823,"style":631},[630],[573,3825,3827,3830],{"className":3826},[616],[573,3828],{"className":3829,"style":645},[620],[573,3831,602],{"className":3832},[625]," gleich ",[573,3835,3837,3850],{"className":3836},[576],[573,3838,3840],{"className":3839},[580],[582,3841,3842],{"xmlns":584},[586,3843,3844,3848],{},[589,3845,3846],{},[600,3847,2615],{},[604,3849,2615],{"encoding":606},[573,3851,3853],{"className":3852,"ariaHidden":612},[611],[573,3854,3856,3859],{"className":3855},[616],[573,3857],{"className":3858,"style":645},[620],[573,3860,2615],{"className":3861},[625]," und für ",[573,3864,3866,3885],{"className":3865},[576],[573,3867,3869],{"className":3868},[580],[582,3870,3871],{"xmlns":584},[586,3872,3873,3882],{},[589,3874,3875,3877,3880],{},[592,3876,594],{},[596,3878,3879],{},"\u003C",[600,3881,602],{},[604,3883,3884],{"encoding":606},"h \u003C 0",[573,3886,3888,3906],{"className":3887,"ariaHidden":612},[611],[573,3889,3891,3894,3897,3900,3903],{"className":3890},[616],[573,3892],{"className":3893,"style":3811},[620],[573,3895,594],{"className":3896},[625,626],[573,3898],{"className":3899,"style":631},[630],[573,3901,3879],{"className":3902},[635],[573,3904],{"className":3905,"style":631},[630],[573,3907,3909,3912],{"className":3908},[616],[573,3910],{"className":3911,"style":645},[620],[573,3913,602],{"className":3914},[625],[573,3916,3918,3934],{"className":3917},[576],[573,3919,3921],{"className":3920},[580],[582,3922,3923],{"xmlns":584},[586,3924,3925,3931],{},[589,3926,3927,3929],{},[596,3928,1158],{},[600,3930,2615],{},[604,3932,3933],{"encoding":606},"-1",[573,3935,3937],{"className":3936,"ariaHidden":612},[611],[573,3938,3940,3943,3946],{"className":3939},[616],[573,3941],{"className":3942,"style":2368},[620],[573,3944,1158],{"className":3945},[625],[573,3947,2615],{"className":3948},[625],". Es gibt keinen gemeinsamen Grenzwert, der Graph hat dort einen Knick.",[560,3951,3953],{"id":3952},"typische-fehler","Typische Fehler",[3955,3956,3957,4011,4604],"ul",{},[3958,3959,3960,4010],"li",{},[573,3961,3963,3980],{"className":3962},[576],[573,3964,3966],{"className":3965},[580],[582,3967,3968],{"xmlns":584},[586,3969,3970,3978],{},[589,3971,3972,3974,3976],{},[592,3973,594],{},[596,3975,1119],{},[600,3977,602],{},[604,3979,1609],{"encoding":606},[573,3981,3983,4001],{"className":3982,"ariaHidden":612},[611],[573,3984,3986,3989,3992,3995,3998],{"className":3985},[616],[573,3987],{"className":3988,"style":621},[620],[573,3990,594],{"className":3991},[625,626],[573,3993],{"className":3994,"style":631},[630],[573,3996,1119],{"className":3997},[635],[573,3999],{"className":4000,"style":631},[630],[573,4002,4004,4007],{"className":4003},[616],[573,4005],{"className":4006,"style":645},[620],[573,4008,602],{"className":4009},[625]," sofort einsetzen. Erst kürzen, dann den Grenzwert bilden.",[3958,4012,4013,4120,4121,4216,4217,4470,4471,4552,4553,656],{},[573,4014,4016,4044],{"className":4015},[576],[573,4017,4019],{"className":4018},[580],[582,4020,4021],{"xmlns":584},[586,4022,4023,4041],{},[589,4024,4025,4027,4029,4035,4037,4039],{},[592,4026,674],{},[596,4028,811],{"stretchy":810},[705,4030,4031,4033],{},[592,4032,709],{},[600,4034,602],{},[596,4036,1998],{},[592,4038,594],{},[596,4040,820],{"stretchy":810},[604,4042,4043],{"encoding":606},"f(x_0 + h)",[573,4045,4047,4108],{"className":4046,"ariaHidden":612},[611],[573,4048,4050,4053,4056,4059,4099,4102,4105],{"className":4049},[616],[573,4051],{"className":4052,"style":1822},[620],[573,4054,674],{"className":4055,"style":690},[625,626],[573,4057,811],{"className":4058},[871],[573,4060,4062,4065],{"className":4061},[625],[573,4063,709],{"className":4064},[625,626],[573,4066,4068],{"className":4067},[734],[573,4069,4071,4091],{"className":4070},[738,739],[573,4072,4074,4088],{"className":4073},[743],[573,4075,4077],{"className":4076,"style":748},[747],[573,4078,4079,4082],{"style":751},[573,4080],{"className":4081,"style":756},[755],[573,4083,4085],{"className":4084},[760,761,762,763],[573,4086,602],{"className":4087},[625,763],[573,4089,771],{"className":4090},[770],[573,4092,4094],{"className":4093},[743],[573,4095,4097],{"className":4096,"style":778},[747],[573,4098],{},[573,4100],{"className":4101,"style":1433},[630],[573,4103,1998],{"className":4104},[1437],[573,4106],{"className":4107,"style":1433},[630],[573,4109,4111,4114,4117],{"className":4110},[616],[573,4112],{"className":4113,"style":1822},[620],[573,4115,594],{"className":4116},[625,626],[573,4118,820],{"className":4119},[915]," falsch bilden: Für ",[573,4122,4124,4151],{"className":4123},[576],[573,4125,4127],{"className":4126},[580],[582,4128,4129],{"xmlns":584},[586,4130,4131,4149],{},[589,4132,4133,4135,4137,4139,4141,4143],{},[592,4134,674],{},[596,4136,811],{"stretchy":810},[592,4138,709],{},[596,4140,820],{"stretchy":810},[596,4142,1119],{},[799,4144,4145,4147],{},[592,4146,709],{},[600,4148,1809],{},[604,4150,1812],{"encoding":606},[573,4152,4154,4181],{"className":4153,"ariaHidden":612},[611],[573,4155,4157,4160,4163,4166,4169,4172,4175,4178],{"className":4156},[616],[573,4158],{"className":4159,"style":1822},[620],[573,4161,674],{"className":4162,"style":690},[625,626],[573,4164,811],{"className":4165},[871],[573,4167,709],{"className":4168},[625,626],[573,4170,820],{"className":4171},[915],[573,4173],{"className":4174,"style":631},[630],[573,4176,1119],{"className":4177},[635],[573,4179],{"className":4180,"style":631},[630],[573,4182,4184,4187],{"className":4183},[616],[573,4185],{"className":4186,"style":1850},[620],[573,4188,4190,4193],{"className":4189},[625],[573,4191,709],{"className":4192},[625,626],[573,4194,4196],{"className":4195},[734],[573,4197,4199],{"className":4198},[738],[573,4200,4202],{"className":4201},[743],[573,4203,4205],{"className":4204,"style":1850},[747],[573,4206,4207,4210],{"style":855},[573,4208],{"className":4209,"style":756},[755],[573,4211,4213],{"className":4212},[760,761,762,763],[573,4214,1809],{"className":4215},[625,763]," ist ",[573,4218,4220,4278],{"className":4219},[576],[573,4221,4223],{"className":4222},[580],[582,4224,4225],{"xmlns":584},[586,4226,4227,4275],{},[589,4228,4229,4231,4233,4235,4237,4239,4241,4243,4245,4247,4249,4251,4257,4259,4261,4263,4265,4267,4269],{},[592,4230,674],{},[596,4232,811],{"stretchy":810},[600,4234,1902],{},[596,4236,1998],{},[592,4238,594],{},[596,4240,820],{"stretchy":810},[596,4242,1119],{},[596,4244,811],{"stretchy":810},[600,4246,1902],{},[596,4248,1998],{},[592,4250,594],{},[799,4252,4253,4255],{},[596,4254,820],{"stretchy":810},[600,4256,1809],{},[596,4258,1119],{},[600,4260,2011],{},[596,4262,1998],{},[600,4264,2026],{},[592,4266,594],{},[596,4268,1998],{},[799,4270,4271,4273],{},[592,4272,594],{},[600,4274,1809],{},[604,4276,4277],{"encoding":606},"f(3+h) = (3+h)^2 = 9 + 6h + h^2",[573,4279,4281,4305,4326,4347,4395,4413,4435],{"className":4280,"ariaHidden":612},[611],[573,4282,4284,4287,4290,4293,4296,4299,4302],{"className":4283},[616],[573,4285],{"className":4286,"style":1822},[620],[573,4288,674],{"className":4289,"style":690},[625,626],[573,4291,811],{"className":4292},[871],[573,4294,1902],{"className":4295},[625],[573,4297],{"className":4298,"style":1433},[630],[573,4300,1998],{"className":4301},[1437],[573,4303],{"className":4304,"style":1433},[630],[573,4306,4308,4311,4314,4317,4320,4323],{"className":4307},[616],[573,4309],{"className":4310,"style":1822},[620],[573,4312,594],{"className":4313},[625,626],[573,4315,820],{"className":4316},[915],[573,4318],{"className":4319,"style":631},[630],[573,4321,1119],{"className":4322},[635],[573,4324],{"className":4325,"style":631},[630],[573,4327,4329,4332,4335,4338,4341,4344],{"className":4328},[616],[573,4330],{"className":4331,"style":1822},[620],[573,4333,811],{"className":4334},[871],[573,4336,1902],{"className":4337},[625],[573,4339],{"className":4340,"style":1433},[630],[573,4342,1998],{"className":4343},[1437],[573,4345],{"className":4346,"style":1433},[630],[573,4348,4350,4354,4357,4386,4389,4392],{"className":4349},[616],[573,4351],{"className":4352,"style":4353},[620],"height:1.0641em;vertical-align:-0.25em;",[573,4355,594],{"className":4356},[625,626],[573,4358,4360,4363],{"className":4359},[915],[573,4361,820],{"className":4362},[915],[573,4364,4366],{"className":4365},[734],[573,4367,4369],{"className":4368},[738],[573,4370,4372],{"className":4371},[743],[573,4373,4375],{"className":4374,"style":1850},[747],[573,4376,4377,4380],{"style":855},[573,4378],{"className":4379,"style":756},[755],[573,4381,4383],{"className":4382},[760,761,762,763],[573,4384,1809],{"className":4385},[625,763],[573,4387],{"className":4388,"style":631},[630],[573,4390,1119],{"className":4391},[635],[573,4393],{"className":4394,"style":631},[630],[573,4396,4398,4401,4404,4407,4410],{"className":4397},[616],[573,4399],{"className":4400,"style":2368},[620],[573,4402,2011],{"className":4403},[625],[573,4405],{"className":4406,"style":1433},[630],[573,4408,1998],{"className":4409},[1437],[573,4411],{"className":4412,"style":1433},[630],[573,4414,4416,4420,4423,4426,4429,4432],{"className":4415},[616],[573,4417],{"className":4418,"style":4419},[620],"height:0.7778em;vertical-align:-0.0833em;",[573,4421,2026],{"className":4422},[625],[573,4424,594],{"className":4425},[625,626],[573,4427],{"className":4428,"style":1433},[630],[573,4430,1998],{"className":4431},[1437],[573,4433],{"className":4434,"style":1433},[630],[573,4436,4438,4441],{"className":4437},[616],[573,4439],{"className":4440,"style":1850},[620],[573,4442,4444,4447],{"className":4443},[625],[573,4445,594],{"className":4446},[625,626],[573,4448,4450],{"className":4449},[734],[573,4451,4453],{"className":4452},[738],[573,4454,4456],{"className":4455},[743],[573,4457,4459],{"className":4458,"style":1850},[747],[573,4460,4461,4464],{"style":855},[573,4462],{"className":4463,"style":756},[755],[573,4465,4467],{"className":4466},[760,761,762,763],[573,4468,1809],{"className":4469},[625,763],", nicht ",[573,4472,4474,4496],{"className":4473},[576],[573,4475,4477],{"className":4476},[580],[582,4478,4479],{"xmlns":584},[586,4480,4481,4493],{},[589,4482,4483,4485,4487],{},[600,4484,2011],{},[596,4486,1998],{},[799,4488,4489,4491],{},[592,4490,594],{},[600,4492,1809],{},[604,4494,4495],{"encoding":606},"9 + h^2",[573,4497,4499,4517],{"className":4498,"ariaHidden":612},[611],[573,4500,4502,4505,4508,4511,4514],{"className":4501},[616],[573,4503],{"className":4504,"style":2368},[620],[573,4506,2011],{"className":4507},[625],[573,4509],{"className":4510,"style":1433},[630],[573,4512,1998],{"className":4513},[1437],[573,4515],{"className":4516,"style":1433},[630],[573,4518,4520,4523],{"className":4519},[616],[573,4521],{"className":4522,"style":1850},[620],[573,4524,4526,4529],{"className":4525},[625],[573,4527,594],{"className":4528},[625,626],[573,4530,4532],{"className":4531},[734],[573,4533,4535],{"className":4534},[738],[573,4536,4538],{"className":4537},[743],[573,4539,4541],{"className":4540,"style":1850},[747],[573,4542,4543,4546],{"style":855},[573,4544],{"className":4545,"style":756},[755],[573,4547,4549],{"className":4548},[760,761,762,763],[573,4550,1809],{"className":4551},[625,763]," und nicht ",[573,4554,4556,4574],{"className":4555},[576],[573,4557,4559],{"className":4558},[580],[582,4560,4561],{"xmlns":584},[586,4562,4563,4571],{},[589,4564,4565,4567,4569],{},[600,4566,2011],{},[596,4568,1998],{},[592,4570,594],{},[604,4572,4573],{"encoding":606},"9 + h",[573,4575,4577,4595],{"className":4576,"ariaHidden":612},[611],[573,4578,4580,4583,4586,4589,4592],{"className":4579},[616],[573,4581],{"className":4582,"style":2368},[620],[573,4584,2011],{"className":4585},[625],[573,4587],{"className":4588,"style":1433},[630],[573,4590,1998],{"className":4591},[1437],[573,4593],{"className":4594,"style":1433},[630],[573,4596,4598,4601],{"className":4597},[616],[573,4599],{"className":4600,"style":621},[620],[573,4602,594],{"className":4603},[625,626],[3958,4605,4606,4607,4646],{},"Annehmen, jede stetige Funktion sei differenzierbar. Bei Knicken wie bei ",[573,4608,4610,4628],{"className":4609},[576],[573,4611,4613],{"className":4612},[580],[582,4614,4615],{"xmlns":584},[586,4616,4617,4625],{},[589,4618,4619,4621,4623],{},[592,4620,3584],{"mathvariant":805},[592,4622,709],{},[592,4624,3584],{"mathvariant":805},[604,4626,4627],{"encoding":606},"|x|",[573,4629,4631],{"className":4630,"ariaHidden":612},[611],[573,4632,4634,4637,4640,4643],{"className":4633},[616],[573,4635],{"className":4636,"style":1822},[620],[573,4638,3584],{"className":4639},[625],[573,4641,709],{"className":4642},[625,626],[573,4644,3584],{"className":4645},[625]," existiert der Grenzwert nicht.",{"title":4648,"searchDepth":4649,"depth":4649,"links":4650},"",2,[4651,4652,4653],{"id":562,"depth":4649,"text":563},{"id":1776,"depth":4649,"text":1777},{"id":3952,"depth":4649,"text":3953},[4655,4658,4661,4664,4667,4670,4672],{"lhs":4656,"rhs":4657},"((x+h)^2 - x^2)\u002Fh","2*x + h",{"lhs":4659,"rhs":4660},"(3+h)^2","9 + 6*h + h^2",{"lhs":4662,"rhs":4663},"((3+h)^2 - 9)\u002Fh","6 + h",{"lhs":4665,"rhs":4666},"(1\u002F(2+h) - 1\u002F2)\u002Fh","-1\u002F(2*(2+h))",{"lhs":4668,"rhs":4669},"-1\u002F(2*(2+0))","-0.25",{"lhs":4671,"rhs":2615},"(abs(0+h) - abs(0))\u002Fh",{"lhs":4671,"rhs":3933,"where":4673},{"h":4674},-0.5,"f \\text{ in einer Umgebung von } x_0 \\text{ definiert},\\ \\text{Grenzwert existiert}","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>f\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">f\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1076em;\">f\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">in einer Umgebung von\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x_0\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.5806em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan style=\"white-space: nowrap\">\u003Cspan class=\"katex\">definiert\u003C\u002Fspan>\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation 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