4) Let Eanbe given series and let Eb, be series in which the terms are the same order as in Ean expect that the terms for which an =0have been omitted. Show that Ean convergent to A if and only if £bn convergent to A

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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4) Let Ea,be given series and let E b, be series in which the
terms are the same order as in Ean expect that the terms for
which an =0have been omitted. Show that Ean convergent to A
if and only if Ebn convergent to A
Transcribed Image Text:4) Let Ea,be given series and let E b, be series in which the terms are the same order as in Ean expect that the terms for which an =0have been omitted. Show that Ean convergent to A if and only if Ebn convergent to A
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