Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 8 - Sequences and Infinite Series - 8.4 The Divergence and Integral Tests - 8.4 Exercises: 10

Answer

Inconclusive

Work Step by Step

$\lim _{k\rightarrow \infty }\dfrac {k}{k^{2}+1}=\lim _{k\rightarrow \infty }\dfrac {1}{k+\dfrac {1}{k}}=0$ then divergence test is inconclusive since it cannot show convergence.
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