lim(x→0)(1-cos^2x)/x(1-e^x)(0/0)求过程,

问题描述:

lim(x→0)(1-cos^2x)/x(1-e^x)(0/0)求过程,

lim(1-(cosx)^2)/[x(1-e^x)]
=lim(sinx)^2/[x*(-x)](等价无穷小)
=limx^2/(-x^2)(等价无穷小)
=-1