1.

The expansion of log \[{{\log }_{e}}\frac{1}{(1-x)}\]is

A. \[x-\frac{{{x}^{2}}}{2}+\frac{{{x}^{3}}}{3}-\,.....\]
B. \[x+\frac{{{x}^{2}}}{2}+\frac{{{x}^{3}}}{3}+\,.....\]
C. \[1-x+\frac{{{x}^{2}}}{2}-\frac{{{x}^{3}}}{3}+\,.....\]
D. \[1+x-\frac{{{x}^{2}}}{2}+\frac{{{x}^{3}}}{3}-\,.....\]
Answer» C. \[1-x+\frac{{{x}^{2}}}{2}-\frac{{{x}^{3}}}{3}+\,.....\]


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