The sum of the series \[\frac{x}{1-{{x}^{2}}}+\frac{{{x}^{2}}}{1-{{x}^{4}}}+\frac{{{x}^{4}}}{1-{{x}^{8}}}+...\]to infinite terms, if \[\left| x \right|

The sum of the series \[\frac{x}{1-{{x}^{2}}}+\frac{{{x}^{2}}}{1-{{x}^

1.	The sum of the series \[\frac{x}{1-{{x}^{2}}}+\frac{{{x}^{2}}}{1-{{x}^{4}}}+\frac{{{x}^{4}}}{1-{{x}^{8}}}+...\]to infinite terms, if \[\left\| x \right\|
A.	\[\frac{x}{1-x}\]
B.	\[\frac{1}{1-x}\]
C.	\[\frac{1+x}{1-x}\]
D.	1
Answer» B. \[\frac{1}{1-x}\]

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The sum of the series \[\frac{x}{1-{{x}^{2}}}+\frac{{{x}^{2}}}{1-{{x}^{4}}}+\frac{{{x}^{4}}}{1-{{x}^{8}}}+...\]to infinite terms, if \[\left| x \right|

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