Chapter 11: Partial Derivatives.

11.2 Limits and Continuity.

Limits and Continuity Using Polar Forms.

0:00 Introduction.

0:18 Lim [(x^3+y^3)/(x^2+y^2)] as (x, y) approaches (0,0).

3:19 Lim [(x^2+y^2) ln(x^2+y^2)] as (x, y) approaches (0,0). Using L'Hospital Rule.

7:15 Lim [(e^(-x^2-y^2)-1)/(x^2+y^2)] as (x, y) approaches (0,0). Using L'Hospital Rule.

Limits and Continuity

Here is another Video about Limits from Calculus I. https://youtu.be/1oJuCIlITO4

 With the Title: [ Limits Part V. Precise Definition of Continuity].