Math Help - Taking the limit as x -> 0

1. Taking the limit as x -> 0

Hi

Does this function have a limit? I can't seem to solve this, the question is asking if there is a limit to this function.

$\lim_{x\to 0}e^{-\frac{1}{x^{2}}$

Thanks
Bucephalus

2. Re: Taking the limit as x -> 0

Originally Posted by Bucephalus
HiDoes this function have a limit? I can't seem to solve this, the question is asking if there is a limit to this function. $\lim_{x\to 0}e^{-\frac{1}{x^{2}}$
Do you know what ${\lim _{x \to \infty }}{e^{ - x}} =~?$

3. Re: Taking the limit as x -> 0

yeah that's zero.

4. Re: Taking the limit as x -> 0

OH yeah, I get it now 1/0^2 = infinity.
Thanks.