Let $f(x)=x-[x]$
where $[x]$ denotes the greatest integer that is less or equal to $x$.

If $m$ is an integer, find each of the following limits. If the limit does not exist, enter DNE below.

(a) $\displaystyle \lim_{x \to m^-} f(x)$ =
(b) $\displaystyle \lim_{x \to m^+} f(x)$ =
(c) $\displaystyle \lim_{x \to m} f(x)$ =