求(x→∞)lim(1+2/x)^x的极限,
问题描述:
求(x→∞)lim(1+2/x)^x的极限,
答
(x→∞)lim(1+2/x)^x
=(x→∞)lim[(1+(1/(x/2)))^(x/2)]^(2)
=[(x→∞)lim(1+(1/(x/2)))^(x/2)]^(2)
=e^2