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Prove that lim(x->3^+) x/[[x]] != lim(x...

Prove that `lim_(x->3^+) x/[[x]] != lim_(x->3^-) x/([x])`

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To prove that \[ \lim_{x \to 3^+} \frac{x}{[x]} \neq \lim_{x \to 3^-} \frac{x}{[x]} \] where \([x]\) denotes the greatest integer function (the largest integer less than or equal to \(x\)), we will evaluate both limits separately. ...
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