The coefficient of \[{{n}^{-r}}\]in the expansion of \[{{\log }_{10}}\left( \frac{n}{n-1} \right)\] is

\[-\frac{1}{r{{\log }_{e}}10}\]

\[\frac{1}{r\,{{\log }_{e}}10}\]

\[-\frac{1}{r!{{\log }_{e}}10}\]

The coefficient of \[{{n}^{-r}}\]in the expansion of \[{{\log }_{10}}\

1.	The coefficient of \[{{n}^{-r}}\]in the expansion of \[{{\log }_{10}}\left( \frac{n}{n-1} \right)\] is
A.	\[\frac{1}{r\,{{\log }_{e}}10}\]
B.	\[-\frac{1}{r{{\log }_{e}}10}\]
C.	\[-\frac{1}{r!{{\log }_{e}}10}\]
D.	None of these
Answer» B. \[-\frac{1}{r{{\log }_{e}}10}\]

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The coefficient of \[{{n}^{-r}}\]in the expansion of \[{{\log }_{10}}\left( \frac{n}{n-1} \right)\] is

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