8) (a) Approximate f by a Taylor polynomial with degree n at the number a. (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) = Tn(x) when x lies in the given interval. f (x) = x In x , a = 1, n = 3, 0.5 < x < 1.5

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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8)
(a) Approximatef by a Taylor polynomial with degree n at the
number a.
(b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) =
Tn(x) when x lies in the given interval.
f (x) = x In x ,
a = 1,
n = 3,
0.5 < x < 1.5
%3D
Transcribed Image Text:8) (a) Approximatef by a Taylor polynomial with degree n at the number a. (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) = Tn(x) when x lies in the given interval. f (x) = x In x , a = 1, n = 3, 0.5 < x < 1.5 %3D
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