lim(1-x)^3/x求極限~

lim(1-x)^3/x求極限~


答:
lim(x→0)(1-x)^(3/x)
=lim(x→0)[1+(-x)]^[1/(-x)]^(-3)
=e^(-3)
=1/e^3
結果是(e的3次方)分之一