Use an appropriate test for series convergence to determine whether each of the following series

converges or diverges. State the name of the test you are using and be sure you have all the

necessary relationships stated that prove your conclusion:

$($g$)\backslash$sum$\_($n$=1)^(\backslash$infty $)$ ne$^(-$n$^(2))$

$($h$)\backslash$sum$\_($n$=1)^(\backslash$infty $)($sin$^(2)$n$)/($n$\backslash$sqrt$($n$))$