convergence of a series. NEED HELP!!!!!! i am sorry for my symbols, but i cant use latex yet. i have this series a_n=2^n/(1+1/2+1/3+1/4+.....+1/n), and i am asked to find the convergence of this series when n goes from 1 (n=1) to infinity. I have done this series, however i am not sure if i can go here, i do not know if i can rewrite the given series in this form, and not to change anything, so it would be: a_n=2^n/(1/n), when n goes from 1 to infinity. If i am right here, then the rest is all clear to me. any help would do. SO what do you guys think???