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This calculus 2 video tutorial provides a basic introduction into the divergence test for series. To perform the divergence test, take the limit as n goes to infinity for the sequence An. If the limit doesn't equal, then the series diverges. If the limit equals 0, the series may converge or it may divergence. Examples and practice problems include the analysis of a geometric series and the harmonic series using the divergence test.

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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