Suppose that E and V are subsets of R with E bounded, V open, and

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Suppose that E and V are subsets of R with E bounded, V open, and ⊂ V. Prove that there is a C∞ function F: E → R such that F(x) > 0 for x ∈ E and f(x) = 0 for ∉ V.

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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 04:14 AM

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Suppose that E and V are subsets of R with E bounded, V open, and

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Suppose that a b Set and observe by Exercise 447 that f is nonn...View the full answer

An Introduction to Analysis

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