Having some issues with these questions:

1.) limit as x ---->4 $\displaystyle \frac{x^2-x-12}{2x^2-5x-12}$

I know I can factor the numerator to have: (x-4 (x+3).

2.) limit as x---->infinity$\displaystyle \frac{x^2}{x^2-1}-\frac{x^3+1}{x^4+1}$

Do I find a common denominator first, subtract the fractions, and take it from there?

3.) limit as x---->2$\displaystyle \frac{\sqrt{x+2}-2}{x-2}$

I think I use the conjugate here.

Well, that is how I tacked the problem. Will post my new answers shortly if I think of a better way to answer them

TIA!