Evaluate the limit of a rational expression by applying direct substitution

The video tutorial explains why direct substitution cannot be used when evaluating the limit of a function as x approaches 2 due to a zero in the denominator, making the function undefined. The instructor demonstrates how to simplify the expression by factoring the numerator and denominator, allowing the limit to be evaluated as x approaches 2. The result is a hole in the graph, and the limit is calculated to be 5. The lesson concludes with a reminder about the test's free response portion and an optional graph confirmation.

How do we find the value at the hole when X approaches 2?

What does the graph confirm about the limit as X approaches 2?