I'd like your help with this:
I tried using L'Hôpital's Rule and all kinds of arithmetic to prove that $\lim_{x \to 0 }\left(x^{-a}e^{\left(\frac{-1}{x^{2}}\right)}\right) = 0$ for every $a$, and it didn't work.
($a=0$ is trivial)
Any hints?
Thank you.