Suppose that $f(x)is$ a continuous, positive and

decreasing function $on[0,)$ with $a_n=f(n).$

Evaluate the following $as$ true $or$ false.

$If{\displaystyle \underset{n=1}{\overset{}{}}}{a}_n$ does not converge, then the integral

${\displaystyle \underset{1}{\overset{}{}}}f(x)dx$ does not converge.

Select one:

True

False