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).
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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a0361ef-108e-440e-8a79-239c96fa7966%2Fb86e9448-a762-4982-8f0c-5f32471ed19c%2F6cnieji_processed.jpeg&w=3840&q=75)
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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