求:lim(x→∞)[x⼀(1+x)]^(x+2) 详细过程。谢谢

2024-12-24 16:34:11
推荐回答(1个)
回答1:

x/(1+x)=1-1/(x+1)
令1/a=-1/(x+1)
x+2=-a+1
所以原式=lim(1+1/a)^(-a+1)
=lim1/(1+1/a)^a*(1+1/a)
=1/e