Evaluate the limit of a piecewise function with a hole

The video tutorial explains how to evaluate limits and identify holes in functions. It begins with an introduction to the concept of limits and holes, followed by a step-by-step guide on evaluating limits using algebraic expressions. The tutorial covers factoring techniques to simplify expressions and solve the problem. Finally, it concludes with the final calculations and the solution, demonstrating the process of finding the limit as x approaches a specific value.

What is the limit as X approaches -4 of the function (2X^2 + 7X - 4) / (X^2 - 16)?

Explain how to factor the expression X^2 - 16 using the difference of squares.

What are the values that need to be multiplied to give -4 and added to give 7X?

How do you simplify the expression after factoring it?

What is the final answer after evaluating the limit?