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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

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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 54E
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Find the Taylor polynomial of order 3 generated by fat a. f(x) = ln x, a = 6 O O O P3(x) = ln 6 + *66 P3(x) = In 6 6 P3(x)= *-6 (x-6)² + (x-6)3 648 In 6 6 + x-6 (x-6)² (x-6)³ 36 216 1296 + x-6 (x-6)² (x-6)³ 36 216 1296 + + (x-6)² (x-6)³ 648 P3(x) = In 6 - X-6+ (x-6)² 72
Transcribed Image Text:Find the Taylor polynomial of order 3 generated by fat a. f(x) = ln x, a = 6 O O O P3(x) = ln 6 + *66 P3(x) = In 6 6 P3(x)= *-6 (x-6)² + (x-6)3 648 In 6 6 + x-6 (x-6)² (x-6)³ 36 216 1296 + x-6 (x-6)² (x-6)³ 36 216 1296 + + (x-6)² (x-6)³ 648 P3(x) = In 6 - X-6+ (x-6)² 72
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