求lim(x→0)(cosx-cosx²)/x²。注意是cosx²不是cos²x哦...
发布网友
发布时间：2024-10-23 20:44
共2个回答
热心网友
时间：2024-11-10 03:34
lim(x->0)（cosx-cos(x^2)）/x^2
x->0
cosx ~1-(1/2)x^2
cosx -cos(x^2)~ [ 1-(1/2)x^2] -[ 1-(1/2)x^4 ]
= -(1/2)x^2 + (1/2)x^4
lim(x->0)（cosx-cos(x^2)）/x^2
=lim(x->0) [-(1/2)x^2 + (1/2)x^4 ]/x^2
=lim(x->0) [-(1/2) + (1/2)x^2 ]
=-1/2
热心网友
时间：2024-11-10 03:34
