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
  $\left(0, \frac{\pi}{8}\right)$