Convergence parameter Find the values of the

Chapter 12, Problem 64E

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QUESTION:

58-65. Convergence parameter Find the values of the parameter p for which the following series converge.

\(\sum_{k=1}^{\infty} \ln \left(\frac{k}{k+1}\right)^{p}\)

Questions & Answers

QUESTION:

58-65. Convergence parameter Find the values of the parameter p for which the following series converge.

\(\sum_{k=1}^{\infty} \ln \left(\frac{k}{k+1}\right)^{p}\)

ANSWER:

Problem 64E

Convergence parameter Find the values of the parameter p for which the following series converge.

Solutio

Step 1

In this problem we have to find the value of parameter p for which the series   

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