世纪文都教育数学教研组编求极限计算题2111.lim1nnnn求极限22132.lim().41xxxxxx求极限0arctanlim().sin4xxx3.求2222123lim.2122232nnnnnnn4.求极限30tansinlim.sin2xxxx5.求极限3lim.2xxxx6.求极限1202esinlim().1exxxxx∣∣7.求极限011limsin().xxx8.求极限0ln(1)9.lim1cosxxxx求极限301tan1sinlim().ln1xxxx10.求极限210sin.lim().xxxx11.求极限022ln(1)()lim2,(a=,b=).xxaxbxx12.求极限若则1,lim____________.1!nnnnkkxxk13.设则1ln1lim____arccotxxx14.21lim2,,.1xxaxbabx15.若则21lim(!).nnn16.求极限10lim(esin2).xxxx17.求极限世纪文都教育数学教研组编22321lim232xxxxx18.19.求极限110ln(1)limxexxx.021coslim12xxx20.242lim(1)(1)(1)(1),1.nnxxxx21.求极限其中|x|)1()34(lim.2222xxxx111,1,:lim,1nnnnnxxxxx23.设证明存在并求该极限。24.01sinlim0xxkx成立的k为25.xexxarctanlim26.12sin2limnnnx27.xxxxcotcsclim028.)1(lim1xxex2238cos2cos1lim2coscos1xxxxx29.30.1arccoslim1xxx2011lim[ln(1)]xxxx31.0sinlim(cos)5,,.exxxxbaba32.若则33.求极限40[sinsin(sin)]sinlimxxxxx34.求极限1212[(1)]lim1ln(1)xtxtetdtxx01lim(12).xxx35.求30tansinlim.sinxxxx36.利用等价无穷小量代换求极限,世纪文都教育数学教研组编sinlim.xxx37.求021coslim1cosxxx38.22limxaxaxaxa39.求2011lim11xxxx40.求