\[(0.5)-\frac{{{(0.5)}^{2}}}{2}+\frac{{{(0.5)}^{3}}}{3}-\frac{{{(0.5)}^{4}}}{4}+....\] [MP PET 1995]

\[(0.5)-\frac{{{(0.5)}^{2}}}{2}+\frac{{{(0.5)}^{3}}}{3}-\frac{{{(0.5)}

1.	\[(0.5)-\frac{{{(0.5)}^{2}}}{2}+\frac{{{(0.5)}^{3}}}{3}-\frac{{{(0.5)}^{4}}}{4}+....\] [MP PET 1995]
A.	\[{{\log }_{e}}\frac{3}{2}\]
B.	\[{{\log }_{10}}\frac{1}{2}\]
C.	\[{{\log }_{e}}n\,!\]
D.	\[{{\log }_{e}}\frac{1}{2}\]
Answer» B. \[{{\log }_{10}}\frac{1}{2}\]

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\[(0.5)-\frac{{{(0.5)}^{2}}}{2}+\frac{{{(0.5)}^{3}}}{3}-\frac{{{(0.5)}^{4}}}{4}+....\] [MP PET 1995]

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