求极限计算题及答案22222112111.lim1111lim(1)lim(1)1lim1e1nnnnnnnnnnnnnnnnnnnn解求:极析限22222222222222132.lim().41111313134limlim,213141411113113limlim2.21141411313limlim4141xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx求极限解析:所以22,13lim41xxxxxxx故不存在但也不是无穷大000arctanlim().sin4arctanx~x(x0),sin4x~4x(x0),arctan1limlimsin444xxxxxxxxx3.求122222222222222123lim.212223212312123221222211123(1),211(1)(1)122limlim2214123lim21222nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn4.求极限解析:因为所以故由来通难则可得21.324nnn30tansinlim.sin2xxxx5.求极限3300230tansintan(1cos)limlimsin28*12lim816xxxxxxxxxxxx解析:25525lim22553lim.2355lim()lim1lim12225[lim1)e.2xxxxxxxxxxxxxxxxxxxxxx6.求极限解析:00000120112211222esinlim().1e2esin2esinlimlim211,1e1e22esin2esinlimlimlim1e1exxxxxxxxxxxxxxxxxxxxxxxxxx∣∣7.求极限∣∣解析:∣∣21212011011,112esinlim1,1exxxxxxeeexx∣∣故2000011limsin().111,limsinlim2sin(2)0;2111,limsinlim2sin2,222211limsinxxnxnxxxxnnnxxxnnxxnxx8.求极限解析:取则取则综上不存在也不是。0ln(1)9.lim1cosxxxx求极限0x解析:,ln(1)xx,211cos2xx,002ln(1)limlim211cos2xxxxxxxx...