1. The problem statement, all variables and given/known data To Determine Whether the series seen below is convergent or divergent. 2. Relevant equations ∑(n/((n+1)(n+2))) From n=1 to infinity. 3. The attempt at a solution Tried to use the comparison test as the bottom is n^2 + 3n + 2, comparing to 1/n. However, this does not work as the first series is "smaller" than the harmonic series and thus it can't be proved to be divergent. I also tried to separate it into partial fractions but I don't know how to prove it is divergent from there. Thanks a lot for any help.