If $f(x) = 2 \tan^{-1} x + \sin^{-1} \left( \frac{2x}{1 + x^2} \right)$,where $x > 1$,then $f(5)$ is equal to:
- A$ \tan^{-1} \left( \frac{65}{156} \right) $
- B$ \frac{\pi}{2} $
- C$ \pi $
- D$ 4 \tan^{-1}(5) $
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