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

  • A

    $x > 2$

  • B

    $x > - 2$

  • C

    $x > \frac{1}{2}$

  • D

    None of these

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