The series ${\displaystyle \underset{n=1}{\overset{}{}}}{a}_n$ has $n-$th partial sum ${\displaystyle \underset{k=1}{\overset{n}{}}}{a}_k=s_n=ln(\frac{4n^2}{3n^2+2})$

Which of the following must be true?

$\underset{n}{lim}{a}_n=ln(\frac{4}{3})$

The sequences $\{a_n\}$ diverges

${\displaystyle \underset{n=1}{\overset{}{}}}{a}_n=ln(\frac{4}{3})$

${\displaystyle \underset{n=1}{\overset{}{}}}{a}_n$ diverges