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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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 04:04 AM

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Suppose that f, g are nonnegative and locally integrable on [a, b) and that exists as an

Question:

fGr) lim

Step by Step Answer:

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

An Introduction to Analysis

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