\sum\limits_{k=2}^{\infty} 1/(k-1)^2 + k^-2 * log k
Is This your series you posted, you just for the math tags.
Also you did not provide enough information for us to help you fully. The above is the summation of series terms as , If you want to find the sum of this series you must determine if the series converges, else wise it diverges and your limit is not finite so will not have a sum for the series as it goes to infinity