Calculate the Taylor polynomial T3 centered at x = a for the given function and values of a and Estimate the accuracy of the 3th degree Taylor approximation, f(x) ≈T3(x), centered at x = a on the given interval. 2) f(x) = ln(1 + 2x), a = 1, and [0.5,1.5]

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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Calculate the Taylor polynomial T3 centered at x = a for the given function and values of a and
Estimate the accuracy of the 3th degree Taylor approximation, f(x) ≈T3(x), centered at x = a on
the given interval.

2) f(x) = ln(1 + 2x), a = 1, and [0.5,1.5]

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