Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 11 - Infinite Series - Chapter Review Exercises - Page 592: 85


The series $\sum_{n=2}^{\infty} \frac{n}{1+100n}$ diverges.

Work Step by Step

We have $$\lim\limits_{n \to \infty} a_n=\lim\limits_{n \to \infty} \frac{n}{1+100n}=\frac{1}{100}\neq 0.$$ Hence the series $\sum_{n=2}^{\infty} \frac{n}{1+100n}$ diverges.
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