first of all see question(adsbygoogle = window.adsbygoogle || []).push({});

question:-> Prove that f(x) = [x^{2}]-[x]^{2}is discontinuous for all integrals values except 1.

[x] denotes greatest integer function OR [x] means greatest integer less than or equal to x.

I think this is discontinuous for +- sqrt(k) where k denotes an whole number(0,inf).

try values you will get the point.

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# Is it wrong question?

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