Converging and Diverging Sequences Using Limits - Practice Problems Video
This calculus video tutorial provides a basic introduction into converging and diverging sequences using limits. It explains how to write out the first four terms of a sequence and how to determine if a sequence converges or diverges by finding the limit of a sequence. If the limit exists and it equals to some constant L as n approaches infinity, then the sequence converges. If the limit does not exist or increases or decreases without bound, that is, to positive or negative infinity - then the sequence diverges. This video contains plenty of examples and practice problems of determining if a sequence is convergent or divergent using Lhopital's rule, the squeeze theorem, and properties of logarithms. It contains example problems with trigonometric functions such as sine and cosine, natural logarithms, square root functions, factorials, and exponential functions.
Final Exam and Test Prep Videos:
https://bit.ly/41WNmI9
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Improper Integrals:
https://www.youtube.com/watch?v=ND9cEdfCFr0
Converging & Diverging Sequences:
https://www.youtube.com/watch?v=XdkoTb8PEG0
Monotonic & Bounded Sequences:
https://www.youtube.com/watch?v=tHy3TXmZpF0
Absolute Value Theorem - Sequences:
https://www.youtube.com/watch?v=kH5Zqg5j-3M
Squeeze Theorem - Sequences:
https://www.youtube.com/watch?v=21loY9MBK3A
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Geometric Series & Sequences:
https://www.youtube.com/watch?v=zRKZ0-kOUZM
Introduction to Series - Convergence:
https://www.youtube.com/watch?v=zg9N2gAf6a4
Divergence Test For Series:
https://www.youtube.com/watch?v=nC_IU1IzzS4
Harmonic Series:
https://www.youtube.com/watch?v=OqBZCycIYfw
Telescoping Series:
https://www.youtube.com/watch?v=XVkdhU6nJbo
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Integral Test For Divergence:
https://www.youtube.com/watch?v=f9SJz4-UaQQ
Remainder Estimate - Integral Test:
https://www.youtube.com/watch?v=vaU5DDcTfZk
P-Series:
https://www.youtube.com/watch?v=x621rtIwb_4
Direct Comparison Test:
https://www.youtube.com/watch?v=oZtAgihok5s
Limit Comparison Test:
https://www.youtube.com/watch?v=LBxYQ0TJxYM
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Calculus Final Exam and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
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