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How to Evaluate Limits of Vector-Valued Functions & Determine Continuity (Calculus 3 Lesson 25)

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In this video you will learn about how to evaluate limits of vector-valued functions and use them to determine intervals of continuity. Additionally, you will see how to use the limit definition of continuity to determine if a vector-valued function is continuous at specific values of the parameter t.

This video series is designed to help students understand the concepts of Calculus 3 at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with the goal of each video being shorter than the average school lecture!

Calculus 3 requires a solid understanding of concepts from calculus 2, calculus 1, precalculus, and algebra. This includes limits, differentiation, advanced integration techniques, applications of derivatives and integrals, polar coordinates, parametric equations, trigonometric functions, logarithms, factoring, equation manipulation, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first!


Video Chapters:
0:00 Operations for Vector-Valued Functions
2:13 Limits of Vector-Valued Functions
8:00 Example: Evaluating a Limit #1
11:05 Example: Evaluating a Limit #2
15:24 Example: Evaluating a Limit #3
21:16 Continuity of Vector-Valued Functions
24:53 Example: Continuity at a Point #1
27:26 Example: Continuity at a Point #2
30:38 Example: Intervals of Continuity #1
32:57 Example: Intervals of Continuity #2


📝 Examples Video:    • Limits & Continuity of Vector-Valued Funct...  

⏩ Next Lesson:    • Derivatives of Vector-Valued Functions | C...  

📺 Calculus 3 Playlist:    • Calculus 3  

📺 Calculus 2 Playlist:    • Calculus 2  

📺 Calculus 1 Playlist:    • Calculus 1  


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Josh from JK Mathematics

#calculus

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