3. Prove that every continuous function on a closed interval [a, b] can be uniformly approximated by polynomials on [a, b].
3. Prove that every continuous function on a closed interval [a, b] can be uniformly approximated by polynomials on [a, b].
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
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![3. Prove that every continuous function on a closed interval [a, b] can be uniformly approximated
by polynomials on [a, b].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe591e3e-c1e9-4180-ad99-642a1f427277%2Faaa109df-e665-4d7c-877b-492d785562dd%2F0nex2rs_processed.png&w=3840&q=75)
Transcribed Image Text:3. Prove that every continuous function on a closed interval [a, b] can be uniformly approximated
by polynomials on [a, b].
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