Answer
$ f(x)=[x]$ has a jump discontinuity at $ x=n $.
Work Step by Step
The function $ f(x)=[x]$, has a jump discontinuity at $ x=n $ for every integer $ n $, since
$$\lim _{x \rightarrow n+}[x]=n, \quad \lim _{x \rightarrow n-}[x]=n-1.$$
Moreover, $ f(x)=[x]$ is right-continuous, but not left continuous.
