Hi everyone. Today we are asked to do determine if this infinite series, , converges or diverges and if it converges, to find it's value. Divergence test does not help in determining the series' behavior, so what I did is I did the integral test since the sequence can be represented as a continuous, positive, and decreasing function at the interval . Turns out this series is convergent and I have to evaluate this ugly series. By the looks of it, it looks like a telescopic series so by making a diagram of the partial sums up to n=n, everything cancels out except . So I've figured that taking the would give me the value for the series. So I ended up with . Is this solution correct? What do you guys think? Thanks everyone for your help!