Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c= 5 (x- 5)4 125 P,00 - (In(5) + 31+ (-) - ( - (-) (x- 5) Pa(x) = (In(5))+ – 5)2 (x- 5)3 2 6 2! 125 4!

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 nth Taylor polynomial for the function, centered at c.
f(x) = In(x), n = 4, c= 5
(x- 5)4
125
(x- 5)
Pa(x) = (In(5))+
(x – 5)2
(x- 5)3
3!
1
2
6
5
2!
25
+
125
4!
Transcribed Image Text:Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c= 5 (x- 5)4 125 (x- 5) Pa(x) = (In(5))+ (x – 5)2 (x- 5)3 3! 1 2 6 5 2! 25 + 125 4!
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