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
Posted: Wed May 11, 2022 10:32 pm
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?
Posted: Wed May 11, 2022 10:32 pm
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?