Determining Limits Using Algebraic Manipulation Practice Test

As $x$ approaches $3$, a model uses $\frac{x^2-9}{x-3}$; what is $\displaystyle\lim_{x\to 3}\frac{x^2-9}{x-3}$?

Evaluate $\lim\limits_{x\to 1}\dfrac{x^2-3x+2}{x-1}$, an indeterminate form removable by factoring.