$\lim _{x \rightarrow 0} x^3 \left\{ \sqrt{x^2 + \sqrt{x^4 + 1}} - \sqrt{2} x \right\} = $
- A$0$
- B$\frac{1}{2 \sqrt{2}}$
- C$\frac{1}{4 \sqrt{2}}$
- D$\frac{1}{\sqrt{2}}$
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