Determine whether the series converges or diverges.
I know it diverges. Its just that I don't know if I found the answer the right way. I used the direct comparison theorem. I compared the serie above with [4n^2]/[5n^3] and found it was less than the series from the problem. And [4n^2]/[5n^3] iI got equals (1/n) which is divergent right? because the n has power less than or equal to 1.