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If f(x) = (sin pi x)/(x-1)+a, " for " x...

If `f(x) = (sin pi x)/(x-1)+a, " for " x lt 1`
`= 2 pi , " for " x= 1`
`=(1+ cos pi x )/(pi (1-x)^2) + b, " for" x gt 1` is continuous at x =1 , find a and b

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`a=3 pi , b= (3pi)/2 `
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