a couple of "Infinite Series" questions... Hi, I'm trying to solve some problems in "Stroud's Engg mathematics".... I'm stuck with these 2 questions: Σ (r=0→∞) (2r) / (r+1)! and Σ (r=0→n) (2r-1) / r(r+1)(r+2) the 1st question converges to 2. My 1st try is divide everything the numerator and denominator by r, but I cannot show that (r+1)!/r converges to 1. (or am I missing something?) for the second question, I was asked to derive a formula for getting the sum for n terms of the series. I'm clueless where to start. Any help greatly appreciated.