Evaluate the limit of a piecewise function using left and right hand limits

The video tutorial covers the concept of direct substitution for continuous functions and the evaluation of general limits, particularly in piecewise functions. It emphasizes the importance of checking both left and right hand limits to determine the existence of a limit. The tutorial concludes with a discussion on the conditions under which a limit exists.

Describe how to evaluate the general limit of a piecewise function at a specific point.

What is the importance of checking both the left and right side limits in limit evaluation?