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Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 64E
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Question 1.3. Prove that if (ak) is such that E, ak is convergent, then for bg
Eo bi is also convergent.
(Hint: can you show that there exists mo so that for k > mo, Jak < 1? If you can do
that, then you can use the comparison test.)
k%=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7f276923-a6db-4110-9ebd-0f16867b1080%2F84ca9e30-2ed0-4f07-800a-353f8a856db7%2Fnyfogbm_processed.png&w=3840&q=75)
Transcribed Image Text:4
Question 1.3. Prove that if (ak) is such that E, ak is convergent, then for bg
Eo bi is also convergent.
(Hint: can you show that there exists mo so that for k > mo, Jak < 1? If you can do
that, then you can use the comparison test.)
k%=
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