lim(x→∞)(1-2/x)^2x

问题描述:

lim(x→∞)(1-2/x)^2x

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