lim(x趋向于无穷大)(1-2/x)^(x/2-1)极限详解

首先你应该知道(1+1/n)^n=e (e的定义之一)lim(x->inf)(1-2/x)^(x/2-1) = lim(x->inf)(1-2/x)^(x/2) * lim(x->inf)(1-2/x)^(-1) 其中lim(x->inf)(1-2/x)^(-1) 等于1所以 lim(x->inf)(1-2/x)^(x/2-1) = lim(x->inf)(1-...