In the function \[f(x)=\frac{2x-{{\sin }^{-1}}x}{2x+{{\tan }^{-1}}x},\ (x\ne 0)\]is continuous at each point of its domain, then the value of \[f(0)\] is [RPET 2000]

In the function \[f(x)=\frac{2x-{{\sin }^{-1}}x}{2x+{{\tan }^{-1}}x},\

1.	In the function \[f(x)=\frac{2x-{{\sin }^{-1}}x}{2x+{{\tan }^{-1}}x},\ (x\ne 0)\]is continuous at each point of its domain, then the value of \[f(0)\] is [RPET 2000]
A.	2
B.	\[1/3\]
C.	\[2/3\]
D.	\[-1/3\]
Answer» C. \[2/3\]

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In the function \[f(x)=\frac{2x-{{\sin }^{-1}}x}{2x+{{\tan }^{-1}}x},\ (x\ne 0)\]is continuous at each point of its domain, then the value of \[f(0)\] is [RPET 2000]

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