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If f(x) is differentiable at x=a, then ...

If `f(x)` is differentiable at `x=a,` then the value of `lim _(x to a)((x+a) f(x) -2af(a))/(x-a)` is equal to-

A

`f (a) +2af' (a)`

B

`2af (a)+f' (a)`

C

`af'(a) +af(a)`

D

`af(a) + 2af'(a)`

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The correct Answer is:
A
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