Suppose that I is a nonempty open interval and that f is bounded and C on I If there is an M 0 such that f(k)(x) for n 0, 1, 2, , then prove that f is zero on a, b rb f(x)x dx 0...

Modifying the proof of Theorem 743 we see that f is analytic Thus the Taylor polynomials f n of f ...

Suppose that I is a nonempty open interval and that f is bounded and C on I.

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Suppose that I is a nonempty open interval and that f is bounded and Cˆž on I. If there is an M > 0 such that |f(k)(x)|

for n = 0, 1, 2, ..., then prove that f is zero on [a, b].

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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 04:11 AM

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Suppose that I is a nonempty open interval and that f is bounded and C on I.

Question:

rb f(x)x" dx =0

Step by Step Answer:

Modifying the proof of Theorem 743 we see that f is analytic Thus the Taylor polynomials f n of f ...View the full answer

An Introduction to Analysis

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