SOLVED: Show that the characteristic function of the rationals is not integrable on the interval [0, 1]. Recall that if X is set and A C X, then the function if c € A IA(c) = Jo if c 4 A is called the characteristic function of A:
SOLVED: Show that the characteristic function of the ratio…
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Consider the function h defined by h(x):=x 1 for x ∈[0,1] rational, and h(x):=0 for x ∈[0,1] irrational. Show that h is not Riemann integrable. | Numerade
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