If \[\underset{x\to 0}{\mathop{\lim }}\,\frac{\log (3+x)\,-\log (3-x)}{x}=k,\,\] then the value of k is [AIEEE 2003]

If \[\underset{x\to 0}{\mathop{\lim }}\,\frac{\log (3+x)\,-\log (3-x)}

1.	If \[\underset{x\to 0}{\mathop{\lim }}\,\frac{\log (3+x)\,-\log (3-x)}{x}=k,\,\] then the value of k is [AIEEE 2003]
A.	0
B.	\[-\frac{1}{3}\]
C.	\[\frac{2}{3}\]
D.	\[-\frac{2}{3}\]
Answer» D. \[-\frac{2}{3}\]

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