(-1)"x²n -, find the Maclaurin (2n)! Given that cos(x) = n=0 series off(x) = cos(2x). Select one: A. E(-1yª (2x)2n (2n)! n=0 00 B. E(-1)". (2x)2n+1 (2n + 1)! n=0 C: 2(-1" (2x)2n+1 (2n + 1) Σ n=0 D. None of them. 00 (2x)" E. E n! n=0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Given that cos(x) = § (-1)"x2n
(2n)!
00
find the Maclaurin
n=0
series off(x) = cos(2x).
Select one:
O A. E(-1)"!
A. (-1)".
(2n)!
(2x)2n
n=0
B. 2(-1y" (2x)2n+1
(2n + 1)!
00
O B.
n=0
(2x)2n+1
(-1)".
(2n + 1)
00
O c.
n=0
D. None of them.
(2x)"
O E.
E. E
n!
n=0
Transcribed Image Text:Given that cos(x) = § (-1)"x2n (2n)! 00 find the Maclaurin n=0 series off(x) = cos(2x). Select one: O A. E(-1)"! A. (-1)". (2n)! (2x)2n n=0 B. 2(-1y" (2x)2n+1 (2n + 1)! 00 O B. n=0 (2x)2n+1 (-1)". (2n + 1) 00 O c. n=0 D. None of them. (2x)" O E. E. E n! n=0
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