$\log_e \left( 1 + ax^2 + a^2 + \frac{a}{x^2} \right)$ નું મૂલ્ય શું છે?

  • A
    $a \left( x^2 - \frac{1}{x^2} \right) - \frac{a^2}{2} \left( x^4 - \frac{1}{x^4} \right) + \frac{a^3}{3} \left( x^6 - \frac{1}{x^6} \right) - \dots$
  • B
    $a \left( x^2 + \frac{1}{x^2} \right) - \frac{a^2}{2} \left( x^4 + \frac{1}{x^4} \right) + \frac{a^3}{3} \left( x^6 + \frac{1}{x^6} \right) - \dots$
  • C
    $a \left( x^2 + \frac{1}{x^2} \right) + \frac{a^2}{2} \left( x^4 + \frac{1}{x^4} \right) + \frac{a^3}{3} \left( x^6 + \frac{1}{x^6} \right) + \dots$
  • D
    $a \left( x^2 - \frac{1}{x^2} \right) + \frac{a^2}{2} \left( x^4 - \frac{1}{x^4} \right) + \frac{a^3}{3} \left( x^6 - \frac{1}{x^6} \right) + \dots$

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Similar Questions

જો $|a| < 1$ અને $b = \sum_{k=1}^{\infty} \frac{a^k}{k}$ હોય,તો $a$ ની કિંમત શું થાય?

જો $x, y, z$ ત્રણ ક્રમિક ધન પૂર્ણાંકો હોય,તો $\frac{1}{2}\log_e x + \frac{1}{2}\log_e z + \frac{1}{2xz + 1} + \frac{1}{3}\left( \frac{1}{2xz + 1} \right)^3 + \dots = $

કિંમત શોધો: $\log_e \sqrt{\frac{1+x}{1-x}}$

$\log_e x - \log_e (x - 1) = $

$\cosh^{-1} 2 = $

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