Show that if f : [a, b] ---; R is integrable on [a, b], then lim Ib

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Show that if f : [a, b] ---; R is integrable on [a, b], then lim Ib f(x)gn(x) dx = O.

n---+oo a

(b) Prove that if f is integrable on [0,1], then lim rl xnf(x) dx = O.

n---+oo Jo

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An Introduction To Analysis

ISBN: 9780131453333

3rd Edition

Authors: William R. Wade

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Question Posted: Jul 18, 2024 07:09 AM

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Show that if f : [a, b] ---; R is integrable on [a, b], then lim Ib

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An Introduction To Analysis

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