There's a similar post on this, but I can't understand it and it seems flawed. So I'll try this one.
How do you prove that the lim (as x approaches a) of x^2=a^2?
Here's a good site that proves It uses the same method so unless you want I won't type it all out.
Ok. So the only thing I don't get now as how it works for something like the example I had where the limit equals a variable (also the number the limit is approaching is a variable). I'm having trouble making the connection from the problem I had to ones with real numbers.
How do you show abs(x^2-a^2) is less than epsilon?