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Be careful when using polar coordinates to evaluate the limit of a multivariable function

Автор: bprp calculus basics

Загружено: 2024-05-31

Просмотров: 18563

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This calculus 3 tutorial covers two examples of how we can use polar coordinates to evaluate the limit of a multi-variable function. Remember when we have (x,y) goes to (0,0), polar coordinate conversion can greatly help, but we still have to be careful!

My goal is to produce more calculus 3 (aka multivariable calculus) content for you guys this year! Subscribe to ‪@bprpcalculusbasics‬ for future videos!

0:00 limit of 3x^2y/(x^2+y^2) as (x,y) goes to (0,0)
3:37 limit of 3x^2y/(x^4+y^2) as (x,y) goes to (0,0)
6:42 showing the limit limit of 3x^2y/(x^4+y^2) as (x,y) goes to (0,0) does not exist

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Be careful when using polar coordinates to evaluate the limit of a multivariable function

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