Question

这道题的极限怎么算

这道题的极限怎么算 我总算不对

Answer 1

x由于无限大所以1都可以忽略不计，然后就是1的正无穷次方，高数的定理有1的正无穷次方是e

Answer 2

(x-1)/(1+x) = 1 - 2/(1+x)
let
1/y = 2/(1+x)
lim(x->+∞) [(x-1)/(1+x)]^x
=lim(x->+∞) [ 1- 2/(1+x)]^x
=lim(y->+∞) [ 1- 1/y]^(2y-1)
=lim(y->+∞) [ 1- 1/y]^(2y)
=e^(-2)