Select all correct statements for the following

series

$A.{\displaystyle \underset{1}{\overset{}{}}}\frac{1}{\sqrt[\phantom{2}]{2n-1}}$

$B.{\displaystyle \underset{n=1}{\overset{}{}}}\frac{1}{lnn}$

$C.{\displaystyle \underset{n=1}{\overset{}{}}}(-1{)}^{n+1}\frac{1}{lnn}$

$D.{\displaystyle \underset{n=1}{\overset{}{}}}{a}^n$ where $B\frac{1}{2}$

A converges

$B$ converges

$C$ converges

$D$ converges

A diverges

$B$ diverges

$C$ diverges

$D$ diverges