Suppose that f, g are nonnegative and locally integrable on [a, b) and that exists as an
Question:
Suppose that f, g are nonnegative and locally integrable on [a, b) and that
exists as an extended real number.
a) Show that if 0 < L < ∞ and g is improperly integrable on [a, b), then so is f.
b) Show that if 0 < L < ∞ and g is not improperly integrable on [a, b), then neither is f.
Transcribed Image Text:
fGr) lim
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a Choose a b0 b such that fxgx 2L 1 for all b 0 x b Since g is nonnegative we ...View the full answer
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