Limits and continuity of multivariable functions
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Intros
Lessons
- Limits & Continuity of Multivariable Functions Overview:
- Notation for a Limit of 2 Variables Functions
- The limit of as ,
- What Does This Mean?
- Approaching the point
- Visualizing the Limit
- Can take infinite paths
- Do all paths give the same value?
- If it does, then the limit is that value.
- Limit of Continuous 2 Variable Functions
- If continuous, then plug into the function
- How do we know it's continuous?
- 2 Ways to See Continuity
- What if the Function is Discontinuous?
- Step 1: See if function is discontinuous
- Step 2: Find a path
- Step 3: Find a second path
- Compare paths
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