The first three nonzero terms of the Taylor series for f(x) = cos x centered at a = π are (x-1)³ (x-7) 5 A. (x-π) - 3! 5! (πχ)3 3! Β. (πχ) C. (x-1) + (nx)² 2! (x-1)² 2! D. -1 + E. -1+ + (πχ)5 5! + (x-1)² (x-1)4 2! 4! (x)4 4! (x-7)4 4!

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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The first three nonzero terms of the Taylor series for f(x) = cos x centered at a = π are
(x-1)³
A. (x-π) -
(x-1)5
3!
5!
Β. (πχ)
+
(x-1)²2
C. (x-π) +
2!
(πχ)2
D. -1 +
2!
(x-π)²
E. −1+
2!
+
(x)3 (πχ)5
3!
5!
(x-7) 4
4!
(πχ)4
4!
(x-π)4
4!
Transcribed Image Text:The first three nonzero terms of the Taylor series for f(x) = cos x centered at a = π are (x-1)³ A. (x-π) - (x-1)5 3! 5! Β. (πχ) + (x-1)²2 C. (x-π) + 2! (πχ)2 D. -1 + 2! (x-π)² E. −1+ 2! + (x)3 (πχ)5 3! 5! (x-7) 4 4! (πχ)4 4! (x-π)4 4!
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