求极限x趋向于无穷 (1-1/(x+1))^x

问题描述:

求极限x趋向于无穷 (1-1/(x+1))^x

lim[1-1/(x+1)]^x,x→∞
=lim{[1-1/(x+1)]^[-(x+1)]}^(-1) *[1-1/(x+1)]^(-1),x→∞
=e^(-1)*1
=1/e
你能明白,赞同