sum n=1 oo [(-1)^n / n^2/3 + 1 / n^3/2]

so the second part is easy. p series 3/2>1 converges

but i cant get the first part? im too familiar with the alternating series test

((-1)^n) 1 / n^2/3

do you just try to find the limit of that by doing

lim n->oo 1 / n^2/3 = 1/oo = 0?