or divergence.$)$

${\displaystyle \underset{n=2}{\overset{}{}}}\frac{3\sqrt[\phantom{2}]{n}}{ln4n}$

Does the series converge or diverge? Why or why not?

A$.$ The series converges. This is revealed by rewriting the series as a geometric series with

B$.$ The series diverges. This is revealed by rewriting the series as a geometric series with $|r|>1.$

C$.$ The series diverges. This is revealed by the nth$-$term test.

D$.$ The series converges. This is revealed by the integral test.