1 Consider the function f(x) = √x (a) Find the second-degree Taylor polynomial of f centered at a = 9. (b) Find an upper bound for the error in the approximation f(x) ≈ T₂( 8.8 ≤ x ≤9.4.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
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Consider the function f(x)
=
1
√x
(a) Find the second-degree Taylor polynomial of f centered at a = 9.
(b) Find an upper bound for the error in the approximation f(x) ≈ T₂(x) for
8.8 ≤ x ≤9.4.
Transcribed Image Text:Consider the function f(x) = 1 √x (a) Find the second-degree Taylor polynomial of f centered at a = 9. (b) Find an upper bound for the error in the approximation f(x) ≈ T₂(x) for 8.8 ≤ x ≤9.4.
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