Use the ratio test or root test $($your choice$)$ for each series.

${\displaystyle \underset{n=1}{\overset{}{}}}\frac{n^{10}}{3^n}$

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

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