这道关于极限的高数题怎么做？

Question

如题所述

Answer 1

n/(n+1) = 1- 1/(n+1)
let
1/u = 1/(n+1)
lim(n->∞) [n/(n+1)]^n
=lim(n->∞) [1-1/(n+1)]^n
=lim(u->∞) [1-1/u]^(u-1)
=lim(u->∞) [1-1/u]^u
=e^(-1)本回答被网友采纳