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can anybody please help me in solving the following question:

consider the function on [0,1] f(x)=1/q if x=p/q, p&q are non zero & p,q are positive integers,

p/q is in simplest form.

= 0 if x=0 or irrational

need to show the set of discontinuities of f(x) is the set of all non zero rationals in [0,1]

consider the function on [0,1] f(x)=1/q if x=p/q, p&q are non zero & p,q are positive integers,

p/q is in simplest form.

= 0 if x=0 or irrational

need to show the set of discontinuities of f(x) is the set of all non zero rationals in [0,1]

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