$(2$ points$)$ Suppose that $\{a_n\}$ and $\{b_n\}$ are sequences where

$0a_n\frac{1}{n^2}{b}_n$ for all $n=1,2,$dots

Circle every true statement below:

A$.$ The series ${\displaystyle \underset{k=1}{\overset{}{}}}{a}_k$ must converge by the direct comparison test.

B$.$ The series ${\displaystyle \underset{k=1}{\overset{}{}}}{a}_k$ must diverge by the direct comparison test.

C$.$ The series ${\displaystyle \underset{k=1}{\overset{}{}}}{b}_k$ must converge by the direct comparison test.

D$.$ The series ${\displaystyle \underset{k=1}{\overset{}{}}}{b}_k$ must diverge by the direct comparison test.