1. The problem statement, all variables and given/known data series for (n^2+1) / (n^3+1) 2. Relevant equations 3. The attempt at a solution I was under the impression that if the denominator is increasing at a larger rate than the numerator, then it will become smaller and smaller approaching zero? So it would converge But I did the working and the comparison test dictates that it must diverge Which one is right?