Property of divergent series Prove that if ak diverges,

Chapter 10, Problem 55AE

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QUESTION:

Property of divergent series Prove that if \(\sum a_{k}\) diverges, then \(\sum c a_{k}\) also diverges, where \(c \neq 0\) is a constant.

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QUESTION:

Property of divergent series Prove that if \(\sum a_{k}\) diverges, then \(\sum c a_{k}\) also diverges, where \(c \neq 0\) is a constant.

ANSWER:

Problem 55AEProperty of divergent series Prove that if ak diverges, then cak also diverges, where e 0 is a constant.SolutionStep 1:Given ak divergesWe have to prove that cak also diverges

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