This worksheet begins with a review of factoring. Then the student is asked to graph a rational function containing a hole and evaluate a limit of the function. Finally, the student is asked to evaluate some limits of rational functions.
I typically use this before I have introduced the idea of infinite limits.
This worksheet is appropriate for both AP Calculus AB and BC.
An answer key is included.
You might also enjoy this complete lesson on techniques for evaluating limits algebraically:
-Finding Limits Algebraically