How to evaluate the limit of a piecewise function using left and right hand notati

The video tutorial explains how to evaluate limits and continuity in piecewise functions. It begins with an introduction to piecewise functions and the importance of evaluating limits. The tutorial then discusses defining points where functions change and explores graph connectivity options. It emphasizes the need to evaluate continuity at break points by checking limits from both sides. The tutorial concludes by demonstrating how to determine if a function is continuous by comparing limits from the left and right.

How can you visualize the graph of a piecewise function, and what should you look for?

What does it mean for a limit to exist at a point in the context of piecewise functions?