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The function `f(x) =(1-sin x+cos x)/(1+sin x+cos x)` is defined at `x=pi.` if `f(pi)= k+1,` then the value of k for which, `lim _(x to pi) f(x) =f(pi) ` is-

A

`-2`

B

`1/2`

C

`-1`

D

1

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The correct Answer is:
A
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