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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.

Improper Integrals:

Converging & Diverging Sequences:


Monotonic & Bounded Sequences:


Absolute Value Theorem - Sequences:


Squeeze Theorem - Sequences:


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Geometric Series & Sequences:


Introduction to Series - Convergence:


Divergence Test For Series:


Harmonic Series:


Telescoping Series:


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Integral Test For Divergence:


Remainder Estimate - Integral Test:


P-Series:


Direct Comparison Test:


Limit Comparison Test:


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Calculus Final Exam and Video Playlists:


Full-Length Videos and Worksheets:

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