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MATH 126 Lecture Notes - Lecture 60: Ratio Test, Alternating Series, Convergent Series

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School
University of Alabama
Department
MATH
Course
MATH 126
Professor
Martin Evans

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Document Summary

Must have a known convergent series (cid:1864)(cid:1865)1 (cid:1853)=(cid:882)* (cid:1870)(cid:883) If (cid:1854)+1(cid:883) or (cid:1864)(cid:1865) |(cid:3028)+1(cid:3028)|= then this series is divergent. If (cid:1864)(cid:1865) |(cid:3028)+1(cid:3028)|=(cid:883), then the test gives no information about convergence or divergence.

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Related Questions

Determine whether the series is convergent or divergent.

(Sigma) Σ (From n=1 to ∞): cos^2(n) / (n^2 + 1)

You may use: Limit Comparison Test, Integral Test, Comparison Test, P-test, and the test for divergence.