lim[(3^x-1)sinx^3]/[ln(1+x^4)]在x趋于0的值
lim[(3^x-1)sinx^3]/[ln(1+x^4)]在x趋于0的值
数学人气:667 ℃时间:2020-03-23 07:54:10
优质解答
利用极限 lim(y->0) [ (siny) / y ] = 1 和 lim(y->0) [ ln(1+y) / y ] = 1 原式 = lim(x->0) [(3^x-1) x^3 / x^4 ]= lim(x->0) [(3^x-1) / x ]利用罗比达法则,对分子分母分别求导= lim(x->0) [ 3^x ln3 / 1 ]= ln3...
我来回答
类似推荐
猜你喜欢
- 1I‘m not as tall as her/she 用哪个?I'm not so tall as her.
- 2某玩具店,买4个狗和7个汽车共需22.2元,买5个狗和6个汽车共需21.7元,每个狗和汽车各几元?
- 3英语美词美句摘抄74句,短点
- 4英语THIS IS的口语化用法
- 5ρ=1400/(1+cosA) A=0-80度 符合此方程的曲线怎么做
- 6she was entirely moved by what he did to her.
- 7这句英语怎么分析
- 8商鞅变法的措施
- 9The little child dare not(walk)__with his classmates
- 10I am a trill seeker and like to always take it to that next level as