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Show that lim(xrarr2)(x)/([x]) does not ...

Show that `lim_(xrarr2)(x)/([x])` does not exist.

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To show that the limit \( \lim_{x \to 2} \frac{x}{[x]} \) does not exist, we will evaluate the left-hand limit and the right-hand limit separately. ### Step 1: Define the function The function we are dealing with is: \[ f(x) = \frac{x}{[x]} \] where \([x]\) is the greatest integer less than or equal to \(x\). ...
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