\[\left( \frac{a-b}{a} \right)+\frac{1}{2}{{\left( \frac{a-b}{a} \right)}^{2}}+\frac{1}{3}\,{{\left( \frac{a-b}{a} \right)}^{3}}+.....=\] [MNR 1979; MP PET 1990; UPSEAT 2001, 02; AMU 2005]

\[{{\log }_{e}}\left( \frac{b}{a} \right)\]

\[{{\log }_{e}}\left( \frac{a}{b} \right)\]

\[{{e}^{\left( \frac{a-b}{a} \right)}}\]

\[\left( \frac{a-b}{a} \right)+\frac{1}{2}{{\left( \frac{a-b}{a} \righ

1.	\[\left( \frac{a-b}{a} \right)+\frac{1}{2}{{\left( \frac{a-b}{a} \right)}^{2}}+\frac{1}{3}\,{{\left( \frac{a-b}{a} \right)}^{3}}+.....=\] [MNR 1979; MP PET 1990; UPSEAT 2001, 02; AMU 2005]
A.	\[{{\log }_{e}}(a-b)\]
B.	\[{{\log }_{e}}\left( \frac{a}{b} \right)\]
C.	\[{{\log }_{e}}\left( \frac{b}{a} \right)\]
D.	\[{{e}^{\left( \frac{a-b}{a} \right)}}\]
Answer» C. \[{{\log }_{e}}\left( \frac{b}{a} \right)\]

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\[\left( \frac{a-b}{a} \right)+\frac{1}{2}{{\left( \frac{a-b}{a} \right)}^{2}}+\frac{1}{3}\,{{\left( \frac{a-b}{a} \right)}^{3}}+.....=\] [MNR 1979; MP PET 1990; UPSEAT 2001, 02; AMU 2005]

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