Floored Limit

Calculus Level 3

We know that by squeeze theorem, limx0sinxx=1 \displaystyle \lim_{x\to0} \dfrac {\sin x}x = 1 .

But what is is the value of limx0sinxx \displaystyle \lim_{x\to0} \left \lfloor \dfrac {\sin x}x \right \rfloor ?

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