求极限lim(X趋于正无穷)(1-1⼀X)^X^1⼀2

2024-11-28 12:10:50
推荐回答(2个)
回答1:

lim(x->+inf) (1-1/x)^√x
=lim [1 + 1 / (-x)]^(-x) * [√x / (-x)],州耐好岁配合公式lim(y->∞) (1+1/y)^y = e,这里册袜春y = -x
=e^-lim 1 / √x
=e^0
=1

回答2:

(1/exp(1))^(1/2)