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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, given by

A

`a^(3/2)`

B

`a^(1/2)`

C

`-a^(1/2)`

D

`-a^(3/2)`

Text Solution

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The correct Answer is:
C
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