5)(48 points) Determine if the following series 2n=1 an converge conditionally, converge absolutely or diverge. State clearly what test you are using, and show all the details. a) an = nen 5 b an n n+1 1 c) an (In (n) )2 272 -n d) an = nan e) an = (-1)n+ 1 cos (n) (n-1)! f) an = 10n2+2