When determining the convergence $of$

${\displaystyle \underset{n=1}{\overset{}{}}}\frac{2\sqrt[\phantom{2}]{n+1}}{n}$

$by$ the $limit$ comparis $on$ test, which

$of$ the following $is$ the best $p-$series

$to$ use?

$(A){\displaystyle \underset{n=1}{\overset{}{}}}\frac{1}{n^{\frac{1}{2}}}$

$(B){\displaystyle \underset{n=1}{\overset{}{}}}\frac{1}{n^2}$

$(C){\displaystyle \underset{n=1}{\overset{}{}}}\frac{1}{n}$

$(D){\displaystyle \underset{n=1}{\overset{}{}}}\frac{1}{n^4}$