I am given the series n^2/(n^3 + 1) and I don't know how to put the Riemann sum symbol in front of it (assume its there). My guess is that the series diverges because -ve terms produce a -ve result because of the n^3 in the denominator and all +ve terms produce +ve results (partial sums are increasing?)

Once I have the suspicion that the series diverges do I perform the integral test? Or am I lost and the series converges?