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Let f(x) ={{:((1-sin x)/(pi-2x)",","when...

Let `f(x) ={{:((1-sin x)/(pi-2x)",","when" x ne (pi)/(2)),(lamda ",","when" x-(pi)/(2)):}` If `lim _(x to (pi)/(2))f(x)=f ((pi)/(2)),` then the value of `lamda` is-

A

0

B

1

C

2

D

`-2`

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The correct Answer is:
A
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