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Solution :

f(x)=[x]<br>
Case 1<br>
let there be a constant (k) which is not a integer<br>
`Lim_(x->k)f(x)=Lim_(x->k)[x]=k=f(k)`<br>
so, f(x) is continous which is not a integer<br>
Case 2<br>
let there be a constant (c) ehich is a integer<br>
`Lim_(x->c^+)f(x)=Lim_(h->0)f(c+h)=Lim_(h->0)(c+h)=c`<br>
`Lim_(x->c^-)f(x)=Lim_(h->0)f(c-h)=Lim(c-h)=c-1`<br>
Left Hand Limit`!=`Right Hand Limit<br>
so, all integers are not continous.
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