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Choose your test Use the test of your choice
Chapter 12, Problem 42E(choose chapter or problem)
40-57. Choose your test Use the test of your choice to determine whether the following series converge.
\(\sum_{k=2}^{\infty} \frac{5 \ln k}{k}\)
Questions & Answers
QUESTION:
40-57. Choose your test Use the test of your choice to determine whether the following series converge.
\(\sum_{k=2}^{\infty} \frac{5 \ln k}{k}\)
ANSWER:Problem 42EChoose your test Use the test of your choice to determine whether the following series converge. Answer ; Step-1 ; In this problem we have to determine the convergence or divergence of the given series .Now choose integral test for that we have to check whether the conditions of the test are satisfied or not. INTEGRAL TEST DEFINITION; Suppose f is continuous , positive , decreasing function on[1, ) , and let = f(n) . Then the convergence or divergence of the series Is the same as that of the integral f(x) dx .1. If f(x) dx is convergent , then is convergent .2. If f(x) dx is divergent , then is divergent . That is bothand converge or diverge together.