For the value of $\frac{2 \tan(x)}{1-\tan^2(x)}$ to be positive,find the values of $x$ such that $x \in \left(0, \frac{\pi}{2}\right)$.

  • A
    $\left(0, \frac{\pi}{3}\right)$
  • B
    $\left(0, \frac{\pi}{6}\right)$
  • C
    $\left(0, \frac{\pi}{4}\right)$
  • D
    $\left(0, \frac{\pi}{8}\right)$

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