श्रेणी का योग ज्ञात कीजिए: $\log_e \frac{4}{5} + \frac{1}{4} - \frac{1}{2} \left( \frac{1}{4} \right)^2 + \frac{1}{3} \left( \frac{1}{4} \right)^3 - \dots$

  • A
    $2 \log_e \frac{4}{5}$
  • B
    $\log_e \frac{5}{4}$
  • C
    $1$
  • D
    $0$

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$\frac{x - 1}{x + 1} + \frac{1}{2} \cdot \frac{x^2 - 1}{(x + 1)^2} + \frac{1}{3} \cdot \frac{x^3 - 1}{(x + 1)^3} + \dots \infty = $

श्रेणी $\log_{4} 2 - \log_{8} 2 + \log_{16} 2 - \dots$ का योग क्या है?

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