Find the Taylor polynomial P„(x) centered at x = 0 for the function f(x) = cos(5 x) n/2 a) O2 (-1)2k52 kx2 k (2 k)! k=0 (-1)*5²kx2 k (2 k)! n/2 b)OE k=0 n/2 (-1)*52 k+1y2 k+1 !x²- c) (2 k + 1)! k=0 52 kx2 k d) OE (2 k)! k=0 (-1)*52 k-1x2 k-1 (2 k – 1)! n e) OE k=0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 57E
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Question 20
Find the Taylor polynomial P,(x) centered at x = 0 for the function f(x) = cos(5 x)
n/2
(-1)2kg2 kx2 k
(2 k)!
k=0
n/2
(-1)*52 kx2k
(2 k)!
b)
k=0
n/2
(-1)*52 k+1x2 k+1
(2 k + 1)!
k=0
n
52 kx2 k
d)
(2 k)!
k=0
* (-1)*52 k-1y2 k-1
(2 k – 1)!
k=0
WI WI
Transcribed Image Text:Question 20 Find the Taylor polynomial P,(x) centered at x = 0 for the function f(x) = cos(5 x) n/2 (-1)2kg2 kx2 k (2 k)! k=0 n/2 (-1)*52 kx2k (2 k)! b) k=0 n/2 (-1)*52 k+1x2 k+1 (2 k + 1)! k=0 n 52 kx2 k d) (2 k)! k=0 * (-1)*52 k-1y2 k-1 (2 k – 1)! k=0 WI WI
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