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Choose your test Use the test of your choice
Chapter 12, Problem 45E(choose chapter or problem)
QUESTION:
40-57. Choose your test Use the test of your choice to determine whether the following series converge.
\(\sum_{k=1}^{\infty} \frac{k^{8}}{k^{11}+3}\)
Questions & Answers
QUESTION:
40-57. Choose your test Use the test of your choice to determine whether the following series converge.
\(\sum_{k=1}^{\infty} \frac{k^{8}}{k^{11}+3}\)
ANSWER:Problem 45EChoose your test Use the test of your choice to determine whether the following series converge. SolutionStep 1In this problem we have to determine whether the series converge or not.Let us use comparison test to find the whether the series converge or not.Comparison test:Let be positive sequences such that for all n, .1. If converges, so does 2. If diverges, so does