Give an upper bound for the difference between the function f(æ) = e" and its second degree Taylor polynomial %3D cetered at a = 0 for 0 < æ < 0.18. Answer exactly or round to at least 3 significant figures. The maximum value of the absolute third derivative on the interval [0, 0.18] is M3 1.197 Preview The upper bound is |R2(x)| < 0.00116 Preview

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 20E
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Give an upper bound for the difference between the function f(x) = e² and its second degree Taylor polynomial
cetered at a = 0 for 0 < x < 0.18. Answer exactly or round to at least 3 significant figures.
The maximum value of the absolute third derivative on the interval [0, 0.18] is
M3
1.197
Preview
The upper bound is
R2(x)| < 0.00116
Preview
Transcribed Image Text:Give an upper bound for the difference between the function f(x) = e² and its second degree Taylor polynomial cetered at a = 0 for 0 < x < 0.18. Answer exactly or round to at least 3 significant figures. The maximum value of the absolute third derivative on the interval [0, 0.18] is M3 1.197 Preview The upper bound is R2(x)| < 0.00116 Preview
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