Question

大一高数的简单问题

请写出过程吧。谢谢了

Answer 1

做变量替换
t=1-x
则原极限可以用lim(1+x)^x=e那个来做
lim（t->0)(1-t)^(-3)/(-t)
=e^(-3)

没法打数学表达式，不知道你能不能看懂

Answer 2

limx^(3/(1-x)=lim(1+x-1)^(-3(1/(x-1)))=lim((1+(x-1))^(1/(x-1)))^(-3)=
(lim(1+(x-1))^(1/(x-1)))^(-3)=e^(-3)