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If f(x) is continuous at x=0, where f(x)...

If `f(x)` is continuous at `x=0`, where `f(x)=(sin (a+x)-sin (a-x))/(tan (a+x)-tan (a-x)), x != 0`, then `f(0)=`

A

cos a

B

`1/2cosa`

C

`cos^2a`

D

none of these

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The correct Answer is:
D
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