Let can be a series with positive terms such n=1 that the sequence (anti) of successive teams is Convergent, with limit L. (a) Prove that if OELI then Σan is divergent.
Let can be a series with positive terms such n=1 that the sequence (anti) of successive teams is Convergent, with limit L. (a) Prove that if OELI then Σan is divergent.
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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Transcribed Image Text:Let can be a series with positive terms such
n=1
that the sequence (anti) of successive teams is
Convergent, with limit L.
(a) Prove that if OEL<I then Σan is convergent.
(b) Prove that if L>I then Σan is divergent.
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