Limits of tolerance

Calculus Level 3

\[{ \lim_{x\to0} } \left( \left \lfloor 200 \cdot \frac { \sin { x } }{ x } \right \rfloor +\left\lfloor 194 \cdot \frac { x }{ \tan { x } } \right\rfloor \right) = \, ? \]

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

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