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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 52E

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Question

Calculate the Taylor polynomials T2(x) and T3(x) centered at a = for f(x) = cos(x).
%3|
T2(x) must be of the form
A+ B(x -
+ C(x-
where
A equals:
B equals:
and
C equals:
T3(x) must be of the form
D+ E(x – )
+ F(x
-)² + G(x – )
where
D equals:
E equals:
F equals:
and
G equals:

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