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

If f(x) is continuous at x=a, where `f(x) = (\sqrt{x} -\sqrt{a} +\sqrt{x-a})/(\sqrt{x^2 -a^2})`, for `x! =0`, then f(a) =

A

`1/\sqrt{2a}`

B

`1/(2\sqrt{a})`

C

`1/(2a)`

D

`2\sqrt{a}`

Text Solution

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The correct Answer is:
A
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