# Taking the limit as x -> 0

• Jul 8th 2012, 02:44 AM
Bucephalus
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

• Jul 8th 2012, 03:06 AM
Plato
Re: Taking the limit as x -> 0
Quote:

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 ${\lim _{x \to \infty }}{e^{ - x}} =~?$
• Jul 9th 2012, 01:57 AM
Bucephalus
Re: Taking the limit as x -> 0
yeah that's zero.
• Jul 9th 2012, 01:58 AM
Bucephalus
Re: Taking the limit as x -> 0
OH yeah, I get it now 1/0^2 = infinity.
Thanks.