Find the Taylor polynomial of order 3 generated by fat a.f(x) = ln x, a = 6OOOP3(x) = ln 6 + *66P3(x) = In 66P3(x)=*-6 (x-6)² + (x-6)3648In 66+x-6 (x-6)² (x-6)³362161296+x-6 (x-6)² (x-6)³362161296++(x-6)² (x-6)³648P3(x) = In 6 - X-6+ (x-6)²72

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Answered: Find the Taylor polynomial of order 3…

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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Find the Taylor polynomial of order 3 generated by fat a. f(x) = ln x, a = 6 O P3(x) = In 6 +X-6 (x-6)²₁ (x-6)³ + 6 72 648 O P3(x) = In 6 6 P3(x) = ln 6 6 + x-6 (x-6)2 (x-6)³ 36 216 1296 + + x-6 (x-6)2 (x-6)3 216 36 1296 + P3(x) = In 6-*-6+ (x-6)² (x-6)³ 72 648