How to evaluate the limit of the piecewise function

The video tutorial discusses graphing functions at various points, focusing on the challenges of graphing at negative values. It explains how to evaluate the limits of a function j(x) as x approaches negative 2, emphasizing the importance of the left and right hand limits being equal. The tutorial further explores the concept of jump discontinuity when these limits are not equal, using specific examples to illustrate the point.

Describe the process of evaluating the limits of j of x as x approaches negative 2.

What happens when the left hand limit and right hand limit are not equal?