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Find the discontinuities (if any) of the function f(x) such that f(x)=0 for x=0 or x irrational, and f(x)=1/n when x is a nonzero

Find the discontinuities (if any) of the function f(x) such that f(x)=0 for x=0 or x irrational, and f(x)=1/n when x is a nonzero rational number n>0, and is in lowest terms (that is, the integers m m m f(x) = n n n and n have no common integral divisor greater than 1).

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