limx趋于无穷,(1+x/x)^2x
问题描述:
limx趋于无穷,(1+x/x)^2x
答
lim(x->∞) [(1+x)/x]^2x
=lim(x->∞) (1+1/x)^2x
=lim(x->∞) {(1+1/x)^x }^2
= e^2