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The function $f(x)=[x]^2-[x^2]$ where $[x]$ is the greatest integer less than or equal to x, is discontinuous at

$\begin{array}{1 1}(a)\;\text{all integers}\\(b)\;\text{all integers except 0 and 1}\\(c)\;\text{all integers except 0}\\(d)\;\text{all integers except 1}\end{array}$

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