Chapter 10.2, Problem 1TFR

True-False Review

For Questions $\text{(a)-(f)}$ decide if the given statement is true or false, and give a brief justification for your answer. If true you can quote a relevant definition or theorem from the text. If false, provide an example, illustration, or brief explanation of why the statement is false.

If $f$ is a function of exponential order, and $\left|g\left(x\right)\right|<f\left(x\right)$ for all $x$, then $g$ is of exponential order.