Calculus 3 Lesson 43: Continuity of Multivariable Functions

Jun 23, 2025

Hi there! Today I have released Lesson 43 of my Calculus 3 series. In this lesson we learn about continuity of multivariable functions!

In particular you will learn:

  1. The definition of continuity of multivariable functions (with limits!)
  2. How to determine the regions where a multivariable function is continuous
  3. How to determine if a point of discontinuity is removable or nonremovable

I hope you enjoy this new lesson for Calculus 3! Next time I'll be covering a highly anticipated topic - one that answers the question: "How do we take derivatives of multivariable functions?" Stay tuned!

Until next time,

- Josh

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