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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^2)-sqrt(a^2+ax+x^2))/(sqrt(a+x)-sqrt(a-x))` becomes continuous for all x, is given by

A

`a^(3//2)`

B

`a^(1//2)`

C

`-a^(1//2)`

D

`-a^(3//2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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