Answer
Diverges
Work Step by Step
$\Sigma$$\frac{n^{3}}{n^{4} +4}$$ \approx$$\Sigma$$\frac{n^{3}}{n^{4}}$$\approx$$\Sigma$$\frac{1}{n^{1}}$, p $\leq$1 therefore it diverges by rules of the p-series
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 11 - Section 11.3 - The Integral Test and Estimates of Sums - 11.3 Exercises - Page 726: 19
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