\[\frac{1}{{{n}^{2}}}+\frac{1}{2{{n}^{4}}}+\frac{1}{3{{n}^{6}}}+......\infty =\]

\[{{\log }_{e}}\left( \frac{{{n}^{2}}}{{{n}^{2}}+1} \right)\]

\[{{\log }_{e}}\left( \frac{{{n}^{2}}+1}{{{n}^{2}}} \right)\]

\[{{\log }_{e}}\left( \frac{{{n}^{2}}}{{{n}^{2}}-1} \right)\]

\[\frac{1}{{{n}^{2}}}+\frac{1}{2{{n}^{4}}}+\frac{1}{3{{n}^{6}}}+......

1.	\[\frac{1}{{{n}^{2}}}+\frac{1}{2{{n}^{4}}}+\frac{1}{3{{n}^{6}}}+......\infty =\]
A.	\[{{\log }_{e}}\left( \frac{{{n}^{2}}}{{{n}^{2}}+1} \right)\]
B.	\[{{\log }_{e}}\left( \frac{{{n}^{2}}+1}{{{n}^{2}}} \right)\]
C.	\[{{\log }_{e}}\left( \frac{{{n}^{2}}}{{{n}^{2}}-1} \right)\]
D.	None of these
Answer» D. None of these

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\[\frac{1}{{{n}^{2}}}+\frac{1}{2{{n}^{4}}}+\frac{1}{3{{n}^{6}}}+......\infty =\]

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