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### Course: Precalculus > Unit 10

Lesson 4: Determining limits using algebraic properties of limits: limit properties# Limits of combined functions: piecewise functions

This video demonstrates that even when individual limits of functions f(x) and g(x) don't exist, the limit of their sum or product might still exist. By analyzing left and right-hand limits, we can determine if the limit of the combined functions exists and find its value.

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