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limx→0(⌊sinxx⌋+⌊sin2xx⌋+⋯+⌊sin10xx⌋)= ?\large \displaystyle \lim_{x \rightarrow 0} \left( \left\lfloor \dfrac{\sin x}{x} \right\rfloor + \left\lfloor \dfrac{\sin 2x}{x} \right\rfloor + \cdots + \left\lfloor \dfrac{\sin 10x}{x} \right\rfloor \right) = \, ? x→0lim(⌊xsinx⌋+⌊xsin2x⌋+⋯+⌊xsin10x⌋)=?
Notation: ⌊⋅⌋ \lfloor \cdot \rfloor ⌊⋅⌋ denotes the floor function.
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