K≥0 ∑ ((sqrt(k)+2)/(k+5)) I am trying to prove that this diverges. The divergence test is inconclusive. Now I am left with a great option of a comparison test. I'm not quite sure what to compare it with, but I know I need to compare it with something smaller (denominator is larger) that diverges to prove divergence. While looking at it, I am wondering if this is as simple as using the p-series test and taking off the smaller quantities of 2 and 5 and just using k^(1/2)/k where p would then = 1/2 and prove divergence. Can I do this with the p-series? IF not, I need to find something that is in comparison with this to prove divergence. Would k^(1/2)/2k be ok to use?