Continuity of piecewise defined functions | Calculus (limits, continuity)
Piecewise defined functions transition between multiple definitions. Determining whether a piecewise function is continuous can be done several ways. Using the definition and testing one-sided limits is the algebraic method. Checking whether the branches meet up at the transition point is the graphical way. In this video, Dr. Amethyst explains both.
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0:00 Intro
1:45 Definition of continuity
2:30 Algebraic method
7:11 Graphical method
9:59 Conclusion