问题描述： x-->无穷大 limf(x)=(1+1/x)^x=e怎么证明? 1个回答 分类：数学 2014-10-05 问题解答： 我来补答 lim (1+1/x)^x =lim e^[ ln ((1+1/x)^x)] = e^ lim [ x ln (1+1/x)] x-->无穷大 1/x--> 0此时,ln (1+1/x) = 1/x （等价无穷小）lim [ x ln (1+1/x)] = x * 1/x = 1原式= e^ 1 = e 展开全文阅读
