求limx→0[(1-x)^(1/x)]
问题描述：
求limx→0[(1-x)^(1/x)]
答
设A=lim[(1-x)^(1/x)]
lnA=limln[(1-x)^(1/x)]
=lim [ln(1-x)]/x
=1/(x-1)
=-1
则A=e^(-1)=1/e