Convergence and divergence, two questions

hi y'all, here is a two part question that i just cant figure out. I've been staring at them for a while no, and i think that the firs tone is not convergent and the second is convergent, but i dont know how to go about proving that (or confirming if i'm right/wrong) Please let me know what you think.

do the following series converge or diverge? Whatever you put, prove you answer.

a.) [epsilon]infinity,n=1 (e^(1/n))/(n^2)

b.) [epsilon]infinity,n=1 (n!)/(2*4*6. . . . . .(2n))