4. If f(x)=0 for all irrational x, f(x) = 1 for all rational x, prove that f $ R on[a, b] for any a
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4. If f(x)=0 for all irrational x, f(x) = 1 for all rational x, prove that f $ R on[a, b] for any a
4. If f(x)=0 for all irrational x, f(x) = 1 for all rational x, prove that f $ R on[a, b] for any a<b. mood 5. Suppose f is a bounded real function on [a, b], and f? ER on [a, b]. Does it follow that feR? Does the answer change if we assume that f’ER?
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