Learn to evaluate the limit of a piecewise function using left and right side limits

The video tutorial explains how to test the limits of a function from the left and right to determine continuity. It demonstrates calculating these limits at x=3 using specific functions and concludes that the limit does not exist due to a jump discontinuity. The tutorial also touches on piecewise functions and their potential for continuity or discontinuity.

What must be tested to determine if a graph is continuous at a breaking point?

Explain how to find the left-hand limit as X approaches 3 using the given function.

What is the result of the right-hand limit as X approaches 3?

What does it mean if the limit as X approaches 3 does not exist?

Describe the characteristics of piecewise functions based on the examples provided.