Working directly from definitions, prove that if f, g, and h are real functions so that lim,-2 f(x) = 3, lim,-2 h(r) 3, and so that for all z on the interval [1,4] it holds that f(x) ≤ g(x) ≤ h(r), then also lim,-2 9(x) = 3. Your answer should involve the letter €.
Working directly from definitions, prove that if f, g, and h are real functions so that lim,-2 f(x) = 3, lim,-2 h(r) 3, and so that for all z on the interval [1,4] it holds that f(x) ≤ g(x) ≤ h(r), then also lim,-2 9(x) = 3. Your answer should involve the letter €.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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![Working directly from definitions, prove that if f, g, and h are real
functions so that limx→2 f(x) = 3, limx→2 h(x) = 3, and so that for all x on
the interval [1,4] it holds that f(x) ≤ g(x) ≤ h(x), then also limx→2 g(x) = 3.
Your answer should involve the letter €.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c2aabc8-e631-4fb3-8f49-0f5657afe9ce%2F682a9d88-d59b-4882-9ee2-6f3a2f3e9e6a%2Fxed16be_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Working directly from definitions, prove that if f, g, and h are real
functions so that limx→2 f(x) = 3, limx→2 h(x) = 3, and so that for all x on
the interval [1,4] it holds that f(x) ≤ g(x) ≤ h(x), then also limx→2 g(x) = 3.
Your answer should involve the letter €.
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