1.

\[{{\log }_{e}}(1+x)=\sum\limits_{i=1}^{\infty }{\left[ \frac{{{(-1)}^{i+1}}{{x}^{i}}}{i} \right]}\] is defined for[Roorkee 1990]

A. \[x\in (-1,\,1)\]
B. Any positive (+) real x
C. \[x\in (-1,\,1]\]
D. Any positive (+) real \[x(x\ne 1)\]
Answer» D. Any positive (+) real \[x(x\ne 1)\]


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