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