Calculus (3rd Edition)

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

Chapter 11 - Infinite Series - 11.2 Summing and Infinite Series - Preliminary Questions - Page 547: 8


$$ \Sigma_{n=0}^\infty \frac{1}{n}$$

Work Step by Step

The easiest example is the P-series: $$ \Sigma_{n=0}^\infty \frac{1}{n}$$ it is divergent since $p=1$ (harmonic series). At the same time, we have $\lim_{n\to \infty}\frac{1}{n}=0.$
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