infinity

n=1

for absolute convergence, I tried to compare with n^8/n^9 but I couldn't tell whether 1/n is smaller than the series. Is there another method I can test for absolute convergence? Also, on what basis can I conclude it does not converge absolutely (in other words, if a test for absolute convergence leads to a conclusion of divergence, is it entirely divergent or can it still conditionally converge?), and move on to test for conditional convergence?