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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

A

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

B

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

C

`a=pi, b=(5pi)/(2)`

D

`a=3pi, b=(5pi)/(2)`

Text Solution

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The correct Answer is:
B
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