lim(x→0)(1-2x)^1/x=lim(x→0)(1-2x)^(1/2x*2)=[lim(x→0)(1-2x)^(1/2x)]2 lim(x→0)(1-1/x)^x=1/e=(1/e)^2=1/e^2
设t=1/xlim(x→0)(1-2x)^1/x = lim(t→∞)(1-2/t)^t=(1+(-2/t))^((-t/2)*-2) = e^(-2)谢谢采纳
