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Can anybody answer this hard question Function of x bracket 1 if X is a rational number or 0 if X is an Irrational number?
f(x) = 1 if x is rational
f(x) = 0 if x is irrational
But there is no specific question about this function. It is a well defined function whose domain is the real numbers and whose codomain consists of the two values, 0 and 1.
It is a function with infinitely many discontinuities, and an integral which is 0.
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