Limit of a piecewise function left, right and general where there is a hole

The video tutorial explains the concept of function discontinuity, focusing on the difference between holes and asymptotes. It demonstrates how to simplify a function to identify a hole and graph it accurately. The tutorial also covers the concept of limits, showing how to approach a function's value from different sides. It addresses common graphing mistakes and emphasizes the importance of simplification for direct substitution. The video concludes with a discussion on the difference between a function's value and its limit.

What new insight or understanding did you gain from this video?