compactness argument

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 47E
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Course: Real Analysis/Mathemetical Analysis (C&C1A)

Prove whether the function takes on its maximum value or its minimum value
on the given domains with a compactness argument or, if necessary, a method
from first year calculus.
f (x) = x3;
A = [0, 1], B = (0, 1)
Transcribed Image Text:Prove whether the function takes on its maximum value or its minimum value on the given domains with a compactness argument or, if necessary, a method from first year calculus. f (x) = x3; A = [0, 1], B = (0, 1)
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