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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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe1d06251-9cb7-4f37-8e8f-dbbf0e17b22e%2Fc7a70aad-d743-449d-8a23-398a862447bb%2Fvo9flki_processed.png&w=3840&q=75)
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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