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How to Determine Convergence of Monotonic & Bounded Sequences (Calculus 2 Lesson 19)

In this video we learn about how to determine if a sequence converges based on if it s monotonic and bounded. We discuss what it means for a sequence to be monotonic and bounded, and how to determine each of those potential features of a sequence. We go through each definition and explain thoroughly with various examples.

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This series is designed to help students understand the concepts of Calculus 2 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 2 requires a solid understanding of calculus 1, precalculus, and algebra concepts and techniques. This includes limits, differentiation, basic integration, factoring, equation manipulation, trigonometric functions, logarithms, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first!


Video Chapters:
0:00 The Goal of This Lesson
1:02 Monotonic Sequences (Definition)
4:05 Monotonic Sequences (Visually)
6:35 Example - 4n/(n+3)
12:44 Example - (2/3)^n
17:07 Alternative Method (Derivative)
21:50 Bounded Sequences
24:16 Example - n
27:14 Example - 1/n
30:41 Putting it all Together!
31:31 Example - 1/n^3
38:34 Example - (-1)^n
42:41 Outro


📝 Examples Video:    • Monotonic & Bounded Sequences Examples | C...  

⏩ Next Lesson:    • Series & The Divergence Test | Calculus 2 ...  

📺 Calculus 2 Playlist:    • Calculus 2  

📺 Calculus 1 Playlist:    • Calculus 1  


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