Let pn be the Taylor polynomial of degree n for f(x) = log(1 – x) about a = 0. How large should n be chosen to achieve |f(x) – Pn(x)| < 10-4 for |¤| < }?

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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Let p. be the Taylor polynomial of degree n for f(r) = log(1 – x) about a = 0. How large
should n be chosen to achieve |f (x) – Pn(x)| < 10-4 for |x| < }?
Transcribed Image Text:Let p. be the Taylor polynomial of degree n for f(r) = log(1 – x) about a = 0. How large should n be chosen to achieve |f (x) – Pn(x)| < 10-4 for |x| < }?
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