$(2$ points$)$ Determine whether the following alternating series are $absolutely$ convergent, conditionally convergent, $or$

divergent. Answer "Absolutely Convergent", "Conditionally Convergent", $or$ "Divergent".

${\displaystyle \underset{n=1}{\overset{}{}}}\frac{(-1{)}^{n-1}}{\sqrt[\phantom{2}]{2n}}$

${\displaystyle \underset{n=1}{\overset{}{}}}(-1{)}^n\frac{3n}{7n^2+1}$

${\displaystyle \underset{n=1}{\overset{}{}}}(-1{)}^{n+1}\frac{2-5n}{n^3+6}$

Note: You only have two attempts $at$ this problem.