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The given function $f(x)=[x]$ is discontinuous at : |
every integer every even number every real number at zero only |
every integer |
The correct answer is option (1) → every integer for every integer x $[x]=x$ $\lim\limits_{y→x^+}[y]=x$ but $\lim\limits_{y→x^-}[y]=x-1$ so $LHL≠RHL$ [x] is discontinuous at every integer |
