# Math Help - limit

1. ## limit

I'm trying to find the limit of this function as x tends to 0 but I'm completely unsure of how to proceed. I can't seem to find any identities that would allow me remove the denominator. Any idea about how to go about it?

$\frac{3 + cos{x} - 4e^{2e}}{1 + sin{3x} - cos{3x} + x}$

2. ## Re: limit

Originally Posted by alyosha2
I'm trying to find the limit of this function as x tends to 0 but I'm completely unsure of how to proceed. I can't seem to find any identities that would allow me remove the denominator. Any idea about how to go about it?

$\frac{3 + cos{x} - 4e^{2e}}{1 + sin{3x} - cos{3x} + x}$
As this is an indeterminate form at the limit (0/0) you are probably expected to use L'hopital's rule.

An alternative is to try small angle approximations.

.