sum(((2*n^2+(2*a+2)*n)*log((n+a+1)/n)+(-2*n^2-2*a*n)*log((n+a)/n)-2*n-2*a-1)/n,n,1,inf)

Uh oh! Wolfram|Alpha doesn't run without JavaScript.

Please enable JavaScript. If you don't know how, you can find instructionshere.Once you've done that, refresh this page to start using Wolfram|Alpha.