1. The problem statement, all variables and given/known data f(x) = sin ∏x/(x - 1) + a for x ≤ 1 f(x) = 2∏ for x = 1 f(x) = 1 + cos ∏x/∏(1 - x)2 for x>1 is continuous at x = 1. Find a and b 2. Relevant equations For a lim x→0 sinx/x = 1. 3. The attempt at a solution I tried equating the two limits, x →1+ and x→1- to each other and to 2∏. Didn't work. Maybe I something wrong, don't have any clue on how to proceed now. Can I get a clue?