Question: Prob. 3. Give an example of a, function f that is discontinuous evexji'where on R but | f I is continuous on R. Prove your

Prob. 3. Give an example of a, function f that is discontinuous evexji'where on R but | f I is continuous on R. Prove your assertions. (Hint: split the real line into rationale and irrationals} \f

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