# Chapter 9 - Infinite Series - 9.4 Convergence Tests - Exercises Set 9.4 - Page 629: 23

converges

#### Work Step by Step

Factoring out the constant 7 leaves $$7 \Sigma_{k=5}^{\infty} \frac{1}{k^{1.01}}$$ This is a p-series with p=1.01. $p$ is greater than 1, therefore, the series converges.

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