Question

极限limx趋近于0 (sin(sinx)-sinx)/x^3怎么求?

Answer 1

简单计算一拍扰下即可胡贺磨，详情裤斗如图所示

Answer 2

原式=limx→0 [cos(sinx)*cosx-cosx]/饥消3x^2,
=limx→缓肢旦0 [cos(sinx)-1]/3x^2
=limx→扰扰0 -sin(sinx)*cosx/6x
=limx→0 -sin(sinx)/6x
=limx→0 -cos(sinx)*cosx/6
=-1/6.