Let \(x \in \!\,\mathbb{R^*}\), calculate \(\left \lfloor \dfrac{1}{x^{2}+1} \right \rfloor\).

**Notations**:

\(\mathbb R ^* \) denotes the set of non-zero real numbers.

\( \lfloor \cdot \rfloor \) denotes the floor function.

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