Limit it

Calculus Level 4

\[\large \lim_{x \to 0}\left(\left \lfloor \frac{100x}{\sin x}\right \rfloor +\left \lfloor \frac{99\sin x}{x}\right \rfloor \right) = \, ? \]

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