f(x) = cos(x) and its MacLauren Series representation cos(x) (Α) /1 = 00 Σ ww. Use the Power Series Shortcuts discussed in our notes to find the MacLauren Series representation for f(x) =x" cos(x) B (-1)"x2" (2n)! x cos(x) x cos(x) /100 Σ x* cos(x) ΜΠΟ Σ NI ,2 (-1)" x ² (2n)! (-1)" 8n +4 (2n)! 100 Jacos(x) Σ (1) Α N=1 (2n)! 24 (-1)"x2 Σ 1901
f(x) = cos(x) and its MacLauren Series representation cos(x) (Α) /1 = 00 Σ ww. Use the Power Series Shortcuts discussed in our notes to find the MacLauren Series representation for f(x) =x" cos(x) B (-1)"x2" (2n)! x cos(x) x cos(x) /100 Σ x* cos(x) ΜΠΟ Σ NI ,2 (-1)" x ² (2n)! (-1)" 8n +4 (2n)! 100 Jacos(x) Σ (1) Α N=1 (2n)! 24 (-1)"x2 Σ 1901
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:f(x) = cos(x)
and its MacLauren Series representation
11 = 00
cos(x) = Σ
N1
(-1) "2"
(2n)!
Use the Power Series Shortcuts discussed in our notes to find the MacLauren Series representation for
f(x) =x* cos(x)
B
x*cos(x)
cos(x)
-
100
Σ
x* cos(x) =
ΜΕ
ΝΕΟ
Σ
H = 1
NE 00
(-1)" x 2
(2n)!
πα
( 14cos(x) = (-1)"x8
Σ
(2n)!
#=1
(-1)"+4
(2n)!
(-1)"x2+4
Σ (2n)!
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