If the sum of the series \[1+\frac{2}{x}+\frac{4}{{{x}^{2}}}+\frac{8}{{{x}^{3}}}+....\infty \] is a finite number, then [UPSEAT 2002]

If the sum of the series \[1+\frac{2}{x}+\frac{4}{{{x}^{2}}}+\frac{8}{

1.	If the sum of the series \[1+\frac{2}{x}+\frac{4}{{{x}^{2}}}+\frac{8}{{{x}^{3}}}+....\infty \] is a finite number, then [UPSEAT 2002]
A.	\[x>2\]
B.	\[x>-2\]
C.	\[x>\frac{1}{2}\]
D.	None of these
Answer» B. \[x>-2\]

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If the sum of the series \[1+\frac{2}{x}+\frac{4}{{{x}^{2}}}+\frac{8}{{{x}^{3}}}+....\infty \] is a finite number, then [UPSEAT 2002]

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