求limx趋于0(1-x)^(2/x)的极限

问题描述:

求limx趋于0(1-x)^(2/x)的极限

limx→0(1-x)^2/x
=limx→0(1+(-x))^(-1/x)*(-2)
=[limx→0(1+(-x))^(-1/x)*]^(-2)
=e^(-2)