Question: Let f(x) = 0 if x is irrational and let f (x) = 1/q if x is the rational number p/ q in reduced form

Let f(x) = 0 if x is irrational and let f (x) = 1/q if x is the rational number p/ q in reduced form (q > 0).
(a) Sketch (as best you can) the graph off on (0, 1).
(b) Show that f is continuous at each irrational number in (0, 1), but is discontinuous at each rational number in (0, 1).

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