Calculus (3rd Edition)

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

Chapter 11 - Infinite Series - 11.4 Absolute and Conditional Convergence - Exercises - Page 563: 17


Convergent series.

Work Step by Step

The series $\sum_{n=0}^{\infty} 7^{-n}$ can be written as follows: $$\sum_{n=0}^{\infty}(\frac{1}{7})^n$$ which is geometric series with $r=1/7 \lt 1$, which converges.
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