Calculus 3 Lesson 42: Limits of Functions of Three Variables

Jun 11, 2025

Hi there! Today I have released Lesson 42 of my Calculus 3 series. In this lesson we continue learning about limits of multivariable functions by focusing on limits of functions of 3 variables!

In particular you will learn:

  1. How to show that limits of functions of 3 variables exist
  2. How to show that limits of functions of 3 variables do not exist
  3. How to use spherical coordinates to find limits of functions of 3 variables

I hope you find this new lesson for Calculus 3 to be helpful!

Next time we'll use our knowledge of limits learned in the previous two lessons to discuss continuity of multivariable functions. Stay tuned!

Until next time,

- Josh

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