4. Let En an be an absolutely convergent series. Prove that if p > 1 then the series En a converge absolutely. Give an example in which if 0 < p<1, then En a can either converge or diverge. Be sure to justify.
4. Let En an be an absolutely convergent series. Prove that if p > 1 then the series En a converge absolutely. Give an example in which if 0 < p<1, then En a can either converge or diverge. Be sure to justify.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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![4. Let En an be an absolutely convergent series. Prove that if p > 1 then the series na
converge absolutely. Give an example in which if 0 < p< 1, then Σ a can either converge
or diverge. Be sure to justify.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F132cb19f-94d0-4fdd-aeb8-9a34a8ca61d1%2F467eb054-7512-4c06-aa28-f3a3ccf3e004%2Fyyl9kfi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Let En an be an absolutely convergent series. Prove that if p > 1 then the series na
converge absolutely. Give an example in which if 0 < p< 1, then Σ a can either converge
or diverge. Be sure to justify.
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