# Chapter 7 - Review - True-False Quiz - Page 537: 14

False

#### 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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