The value of f(0) , so that the function...

The value of f(0) , so that the function
`f(x) = (sqrt(a^(2)-ax+x^(3))-sqrt(a^(2)+ax+x^(2)))/(sqrt(a+x)-sqrt(a-x))`
become continuous for all x, is given by

A

(a) `asqrt(a)`

B

(b) `sqrt(a)`

C

(c) `-sqrt(a)`

D

(d) `-asqrt(a)`

Verified by Experts

The correct Answer is:

C

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