The value of the series $x \log _e a + \frac{x^3}{3!} (\log _e a)^3 + \frac{x^5}{5!} (\log _e a)^5 + \dots$ is

  • A
    $\cosh(x \log _e a)$
  • B
    $\coth(x \log _e a)$
  • C
    $\sinh(x \log _e a)$
  • D
    $\tanh(x \log _e a)$

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