题目内容：

lim(x→∞)(1-2/x)^2x

优质解答

lim(x→∞)(1-2/x)^2x
=lim(x→∞)[1+(-2/x)]^[(-x/2)*(-4)]
={lim(x→∞)[1+(-2/x)]^[1/(-2/x)]}^(-4)
=e^(-4)
=1/e^4