- #1

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## Homework Statement

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

## Homework Equations

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?