lim (n趋向无穷)(x/1+x)x次方

问题描述:

lim (n趋向无穷)(x/1+x)x次方

按你所写的...答案为2x^x

lim (x→∞)(x/1+x)^x=lim (x→∞)(1-1/(1+x))^(x+1)/lim(x→∞)(1-1/(1+x))
=-e/1=-e