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> If $[.]$ denotes greatest integer function, find the range of $$\left[\frac{[x]}{x}\right]$$
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My friend and I tried solving this question and arrived at the answer ${0,1}$ but when we took the value of $x$ as $-0.14$ we got the range as $7$ and then while trying other numbers we started getting big numbers like $5,6$ etc.... But the answer given is ${0,1}$, so did we do something wrong?
Thanks.