6. Suppose that f : R ---- R. If 1 exists and is bounded on R, and...

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6. Suppose that f : R ---- R. If 1" exists and is bounded on R, and there is an co > 0 such that 1f'(x)1 2: cO for all x E R, prove that there exists a 8 > 0 such that if If(xo)1 :::; 8 for some Xo E R, then f has a root, i.e., that f

(c) = 0 for some C E R.

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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 04:04 PM

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6. Suppose that f : R ---- R. If 1 exists and is bounded on R, and...

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An Introduction To Analysis

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