## Calculus (3rd Edition)

Published by W. H. Freeman

# Chapter 11 - Infinite Series - 11.2 Summing and Infinite Series - Exercises - Page 547: 25

Diverges

#### Work Step by Step

Given $$\sum_{n=3}^{\infty}\left(\frac{3}{11}\right)^{-n}=\sum_{n=3}^{\infty}\left(\frac{11}{3}\right)^{n}$$ Since the series is a geometric series with $|r|=\left|\frac{11}{3}\right|>1$, then the series diverges

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