Answered: Suppose that f,g: D→ R are continuous…

Suppose that f,g: D→ R are continuous and for some xo in D, f(xo) > g(xo). Show that there exists 8 >0 such that |x-xo |< 8 and x in D implies that f(x) > g(x).

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.3: Factorization In F [x]

Problem 24E

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Question

Suppose that f,g: D→ R are continuous and for some xo in D, f(xo) > g(xo). Show
that there exists 8 >0 such that |x-xo |< 8 and x in D implies that f(x) > g(x).

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