Chapter 11.1, Problem 50E

To determine

To check: Whether ${\displaystyle \underset{1}{\overset{\infty }{\int }}f\left(x\right)dx}$ is diverge or not whenever f is continuous on $\left[0,\infty \right)$ and ${\displaystyle \underset{0}{\overset{\infty }{\int }}f\left(x\right)dx}$ diverges.