\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Compute \(\lim_{x \to 0^+} \lfloor x \rfloor\) and \(\lim_{x \to 0^-} \lfloor x \rfloor\), and conclude on the existence of \(\lim_{x \to 0} \lfloor x \rfloor\).
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