13. (a) Find the 3rd-degree Taylor polynomial for the function f(x) = In x centered at a = 1. (b) Use your answer from part (a) to approximate In(1.15).

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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13. (a) Find the 3rd-degree Taylor polynomial for the function
f(x) = Inx centered at a = 1.
(b) Use your answer from part (a) to approximate In(1.15).
Transcribed Image Text:13. (a) Find the 3rd-degree Taylor polynomial for the function f(x) = Inx centered at a = 1. (b) Use your answer from part (a) to approximate In(1.15).
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