Lim(x/e)^((x-e)^-1),x→e_数学解答

Lim(x/e)^((x-e)^-1),x→e

人气：283 ℃　时间：2020-07-17 18:46:14

解答

Lim(x/e)^((x-e)^-1)
=lim(1+(x-e)/e)^[(x-e)^-1]
=lim(1+(x-e)/e)^[e/(x-e)]*(1/e)
=e^(1/e)