# The Floor

Algebra Level 2

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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