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10. Define what it means for a, to be conditionally convergent and for b, to be absolutely n=1 n=1 convergent. As well, prove the following: if Cn is absolutely convergent, then (cn - (a) n=1 n=1 is also absolutely convergent. As part of your solution, clearly state any tests of convergence used.

10. Define what it means for a, to be conditionally convergent and for b, to be absolutely n=1 n=1 convergent. As well, prove the following: if Cn is absolutely convergent, then (cn - (a) n=1 n=1 is also absolutely convergent. As part of your solution, clearly state any tests of convergence used.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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10. Define what it means for > a, to be conditionally convergent and for >b, to be absolutely n=1 n=1 convergent. As well, prove the following: if > en is absolutely convergent, then (en – |cnl) n=1 n=1 is also absolutely convergent. As part of your solution, clearly state any tests of convergence used.
Transcribed Image Text:10. Define what it means for > a, to be conditionally convergent and for >b, to be absolutely n=1 n=1 convergent. As well, prove the following: if > en is absolutely convergent, then (en – |cnl) n=1 n=1 is also absolutely convergent. As part of your solution, clearly state any tests of convergence used.
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