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.
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