\[\frac{1}{1\,.\,3}+\frac{1}{2}\,.\,\frac{1}{3\,.\,5}+\frac{1}{3}\,.\,\frac{1}{5\,.\,7}+......\infty =\]

\[\frac{1}{1\,.\,3}+\frac{1}{2}\,.\,\frac{1}{3\,.\,5}+\frac{1}{3}\,.\,

1.	\[\frac{1}{1\,.\,3}+\frac{1}{2}\,.\,\frac{1}{3\,.\,5}+\frac{1}{3}\,.\,\frac{1}{5\,.\,7}+......\infty =\]
A.	\[2\,{{\log }_{e}}2-1\]
B.	\[{{\log }_{e}}2-1\]
C.	\[{{\log }_{e}}2\]
D.	None of these
Answer» B. \[{{\log }_{e}}2-1\]

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\[\frac{1}{1\,.\,3}+\frac{1}{2}\,.\,\frac{1}{3\,.\,5}+\frac{1}{3}\,.\,\frac{1}{5\,.\,7}+......\infty =\]

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