- #1

- 105

- 0

## Homework Statement

Limit of x^((x^x)-1) as x->0

## Homework Equations

Lim x^x=1

x->0

## The Attempt at a Solution

it's an 0^0 indetermination so I tried to solve it the usual way, by first calculating the limit of log(x)*(x^x-1) as x->0 with L'hopital's rule. I got e^0=1 confirmed by Wolfram. However, the using L'hopitals rule on this limit is not very practical, is there a better soluction?