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
For a lim x→0 sinx/x = 1.
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?