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(a) what can be said about the series Ea?? Give a reason for your answer. 1+an (b) what can be said about the series Σ? Give a reason for your answer. Hint: Note that we have limnan = 0. Comparison Theo- rem may be helpful.

(a) what can be said about the series Ea?? Give a reason for your answer. 1+an (b) what can be said about the series Σ? Give a reason for your answer. Hint: Note that we have limnan = 0. Comparison Theo- rem may be helpful.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 73E
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Suppose the series Ean converges and an> 0 for all n. (a) what can be said about the series Ea?? Give a reason for your answer. 1+an (b) what can be said about the series Σ? Give a reason for your answer. Hint: Note that we have limn→∞ an = 0. Comparison Theo- rem may be helpful.
Transcribed Image Text:Suppose the series Ean converges and an> 0 for all n. (a) what can be said about the series Ea?? Give a reason for your answer. 1+an (b) what can be said about the series Σ? Give a reason for your answer. Hint: Note that we have limn→∞ an = 0. Comparison Theo- rem may be helpful.
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