http://math.rutgers.edu/~greenfie/we...fstuff/w4H.pdf

I know for a), I can show it converges with integral test, but how can I find a specific partial sum?

Do I just take the integral from 2 to n of 1/(x*(ln x)^2) and set it <10^-5 so that I get 5 digit accuracy, and then solve for N?

For b), I know how to show divergence, but how do I find the specific partial sum? Same idea?