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Convergence parameter Find the values of the
Chapter 12, Problem 61E(choose chapter or problem)
QUESTION:
58-65. Convergence parameter Find the values of the parameter p for which the following series converge.
\(\sum_{k=2}^{\infty}\left(\frac{\ln k}{k}\right)^{p}\)
Questions & Answers
QUESTION:
58-65. Convergence parameter Find the values of the parameter p for which the following series converge.
\(\sum_{k=2}^{\infty}\left(\frac{\ln k}{k}\right)^{p}\)
ANSWER:Problem 61EConvergence parameter Find the values of the parameter p for which the following series converge. SolutionStep 1In this problem we have to find the value of parameter p for which the seriesconverges.Let us use comparison test to find pComparison test:Let be positive sequences such that for all n, .1. If converges, so does 2. If diverges, so does