The video tutorial covers the evaluation of limits in piecewise functions, focusing on determining continuity by checking left and right-hand limits. It explains how to use factoring techniques, such as the difference of squares, to evaluate limits and identify removable discontinuities. The tutorial also discusses nonremovable discontinuities that lead to asymptotes, emphasizing the importance of understanding graph behavior. The session concludes with a brief introduction to a quiz to reinforce the concepts learned.

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