Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 7 - Techniques of Integration - Review - True-False Quiz - Page 577: 14



Work Step by Step

Since, it is true that $\int _{a}^{\infty}f(x)dx\leq \int_{a}^{\infty}g(x)$ if $f(x) \leq g(x) $ on $[0,\infty ) $. However, something ''less than'' divergent does not mean divergent , it can also be convergent. Hence, the given statement is false.
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