Jestion Let Pa be the nth Taylor Polynomial of the function f(z) centered at z = 0. Assume that f is a function such that f(n)(z) S1 for all n and z (the sine and cosine functions have this property.) Estimate the error if P(- is used to approximate a) b) O 5! () c) O 6! d) O 6! e) O 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 54E
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Question 6
(;)
().
Let Pn be the nth Taylor Polynomial of the function f(x) centered at æ = 0. Assume that f is a function such that f(n) (x) < 1 for all n and æ (the sine and cosine functions have this property.) Estimate the error if Ps
is used to approximate f
a) O
5!
(4)
5
b) O
5!
()'
c) O
6!
1
d) O
6!
(4)'
e) O
4!
Transcribed Image Text:Question 6 (;) (). Let Pn be the nth Taylor Polynomial of the function f(x) centered at æ = 0. Assume that f is a function such that f(n) (x) < 1 for all n and æ (the sine and cosine functions have this property.) Estimate the error if Ps is used to approximate f a) O 5! (4) 5 b) O 5! ()' c) O 6! 1 d) O 6! (4)' e) O 4!
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