1. ## Limit

For what values of k is $\displaystyle \lim_{x\downarrow 0} x^{-k} e^{-x^{1-k}}$ finite?

I tried l'Hopital's rule and Taylor expansion, but they both don't seem to simplify the problem.

3. ## Re: Limit

Originally Posted by princeps
Why did you let \displaystyle \displaystyle \begin{align*} k = 2.55 \end{align*}?