Question

Lt (((1+×)^(1÷×))÷e)^1÷×
x->0

Answer 1

e=2.718281828.....

I defined e.

Answer 2

well, e = limit(x->0) (1+x)^(1/x), so your expressions is

(e/e)^(1/x) = 1^infinity

Hmmm. No joy there

Take a look at

http://www.wolframalpha.com/input/?i=limit+%28x-%3E0%2B%29+%28%28%281%2Bx%29^%281%2Fx%29%29%2Fe%29^%281%2Fx%29