为什么lim(1+1/(x-1))^(x-1)lim(1+1/(x-1))=e,x趋向无穷大.
问题描述：
为什么lim(1+1/(x-1))^(x-1)lim(1+1/(x-1))=e,x趋向无穷大.
答
lim(1+1/(x-1))^(x-1) = e这个是重要极限的结论
lim(1+1/(x-1))= 1 + lim1/(x-1) = 1+0=1
所以两者相乘=e