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The function $f(x)=[x]$, where $[x]$ denotes the greatest integer not greater than $x$, is
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continuous for all non-integral values of $x$
Given, $f(x)=[x]$ from the graph we observe that $f(x)=[x]$ discontinuous at every integral value of $x$. That means, $f(x)=[x]$. Continuous only for all non-integral values of $\mathrm{x}$.
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