Assume the functions f, g, and h satisfy the inequality f(x) g(x) h(x) for all

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Assume the functions f, g, and h satisfy the inequality f(x) ≤ g(x) ≤ h(x) for all values of x near a, except possibly at a. Prove that if lim f(x) = lim h(x) = x→a then |lim g(x) = L.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Feb 08, 2019 09:26 AM

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Assume the functions f, g, and h satisfy the inequality f(x) g(x) h(x) for all

Question:

lim f(x) = lim h(x) = x→a |lim g(x) = L.

Step by Step Answer:

Let 0 be given Because there exists a number 1 so that fx L whenever 0 x a 1 And ...View the full answer

Calculus Early Transcendentals

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