Limits and Continuity, Multi-variable Functions, Worked Examples - Calculus 3

This video explains how to determine the limits and continuity of multi-variable functions, including the informal and epsilon-delta definitions of limits of functions of two variables, properties of limits of multi-variable functions, continuity of two-variable and composite functions, two-path test for the non-existence of limits, limits and continuity of higher-variable functions, and worked example practice problems.

0:00 Limits of functions of two variables
1:39 Epsilon-delta definition for two-variable functions
4:25 Properties of limits of multi-variable functions
7:51 Continuity of two-variable functions
9:49 Continuity of composite functions
11:21 Two-path test for the non-existence of limits
12:51 Limits and continuity of higher-variable functions
14:05 Worked examples