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

\[{{\log }_{e}}\frac{\sqrt{5}}{2}\]

\[2{{\log }_{e}}\frac{\sqrt{5}}{2}\]

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

1.	\[\frac{1}{5}+\frac{1}{2}\,.\,\frac{1}{{{5}^{2}}}+\frac{1}{3}.\frac{1}{{{5}^{3}}}+.....\infty =\]
A.	\[{{\log }_{e}}\frac{4}{5}\]
B.	\[{{\log }_{e}}\frac{\sqrt{5}}{2}\]
C.	\[2{{\log }_{e}}\frac{\sqrt{5}}{2}\]
D.	None of these
Answer» D. None of these

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

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