Question

what do you do when the limit is to x to 0 and theres an x in the denominator?

Answer 1

See if you can get rid of that x by factoring and cancelling out stuff from the numerator/denominator
Otherwise, you freak out.

Answer 2

Try putting 0 instead of x, if you \[0\over0\]
then you need to factor, however if you get \[k/0, k \neq0\]
Then you have a whole other situation.