5. Suppose that f : [a, b] ----; R is continuous and for all integers n 2:...

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5. Suppose that f : [a, b] ----; R is continuous and for all integers n 2: O.

(a) Evaluate J: P(x)f(x) dx for any polynomial P on R.

(b) Prove that J: If(xW dx = O.

(c) Show that f(x) = 0 for all x E [a, b].

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An Introduction To Analysis

ISBN: 9780131453333

3rd Edition

Authors: William R. Wade

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Question Posted: Jul 19, 2024 01:08 AM

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5. Suppose that f : [a, b] ----; R is continuous and for all integers n 2:...

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An Introduction To Analysis

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