1. The problem statement, all variables and given/known data hint: find the limit of the integral over [ε,pi] and estimate the rest. 2. Relevant equations 3. The attempt at a solution I think it is related to the integral convergence theorem, but not all conditions are satisfied. To use the theorem, maybe we have to break the integral into two parts and integrate over [ε,pi]? But how? But I'm still not sure how we can solve this. Any help would be much appreciated!