If the function \(f(x)=\dfrac{2x-\sin^{-1}x}{2x+\tan^{-1}x}, x\neq 0\) is continuous at each point of its domain, then the value of f(0) is:

If the function \(f(x)=\dfrac{2x-\sin^{-1}x}{2x+\tan^{-1}x}, x\neq 0\

1.	If the function \(f(x)=\dfrac{2x-\sin^{-1}x}{2x+\tan^{-1}x}, x\neq 0\) is continuous at each point of its domain, then the value of f(0) is:
A.	2
B.	\(\dfrac{1}{3}\)
C.	\(\dfrac{2}{3}\)
D.	\(-\dfrac{1}{3}\)
Answer» C. \(\dfrac{2}{3}\)

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If the function \(f(x)=\dfrac{2x-\sin^{-1}x}{2x+\tan^{-1}x}, x\neq 0\) is continuous at each point of its domain, then the value of f(0) is:

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