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If the function f(x) defined by f(x)={(l...

If the function `f(x)` defined by `f(x)={(log(1+a x)-log(1-b x))/x ,\ \ \ if\ x!=0\ \ \ \ \ \ \ \ \ \ \ \ k ,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ if\ x=0` is continuous at `x=0` , find `k` .

A

`log a + log b`

B

`log a- log b`

C

`a+b`

D

`a-b`

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The correct Answer is:
C
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