题目

lim(1+1/x-1)^x是多少

提问时间：2021-03-31

答案

lim(1+1/(x-1))^x
=lim(1+1/(x-1))^(x-1)*(1+1/(x-1))
=lim(1+1/(x-1))^(x-1)lim(1+1/(x-1))
=lim(1+1/(x-1))^(x-1)（1 + lim1/(x-1) ）
=e(1+0)
=e