1. The problem statement, all variables and given/known data The problem is as follows: lim(n→∞)(sum(sin(kθ)/2k,k=1,n) 2. Relevant equations 3. The attempt at a solution I feel like this should converge since sin oscillates between -1 and 1 and 2k keeps getting larger and larger. Do I have to use power series somehow? Any ideas, anyone?