Algebraically or Geometrically?

Calculus Level 4

\[\displaystyle \lim_{x\rightarrow 0} \left(\ \left\lfloor \dfrac{a\sin(x)}{x} \right \rfloor+\left\lfloor \dfrac{b\tan(x)}{x} \right \rfloor \ \right)= \ ?\]

Given that \( a,b\) are natural numbers.


Try for some more interesting problems of Limits and Derivatives.
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