Prove that if an converges absolutely, then an also con- verges. Then give an example where an is only conditionally con- vergent and a diverges.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 26E
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Prove that if an converges absolutely, then an also con-
Σ
verges. Then give an example where an is only conditionally con-
vergent and a diverges.
Transcribed Image Text:Prove that if an converges absolutely, then an also con- Σ verges. Then give an example where an is only conditionally con- vergent and a diverges.
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