2. Given Taylor polynomial is p„(x) = E}=1(-1)/-1-(x – 1)', compare log (x) and itsTaylor polynomial degree 1, 2 and 3, on interval [,

Concept: Let f be a function whose first n derivatives exist at x=a The Taylor polynomial of degree…

Answered: 2. Given Taylor polynomial is p₁ (x) =…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.3: Algebraic Expressions

Problem 32E

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== 8. Suppose g is a function which has continuous derivatives, and that g(8) = 4, g'(8) = 1, g" (8) = 4, and g(3)(8) 5. = (a) What is the Taylor polynomial of degree 2 for g near 8? P2(x) = (b) What is the Taylor polynomial of degree 3 for g near 8? P3(x) = (c) Use the two polynomials that you found in parts (a) and (b) to approximate g(8.1). With P2, g(8.1)≈ With P3, 9(8.1)≈

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2. Given Taylor polynomial is p₁ (x) = Σ;=1−¹)²(x − 1)³, compare log (x) and its (-1)-1 Taylor polynomial degree 1, 2 and 3, on interval [2,3].