25. Find the interval of convergence of the sum A. -14

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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Solve q25 only
24. Find a power series for the function 4cos (-) centered at x = 0.
A.
25.
B.
C.
4
E.
00
n=0
1=0
(-1)", 2-
42 (2n)!
(-1), 2
(-1)+12+1
(2n + 1)!
D. 4⁰⁰ (-1)"+1,2″
4-0
(2n)!
-.
n2n+1
(-1)",2n
42n (2n)!
0
Find the interval of convergence of the sum
A.
B.
C.
D.
E. - 14 ≤x≤8
14<x<8
124 <x< 118
124 <x< 118
[..
-1
-∞0<x<∞
(x²+6x +9)"
121" n
Transcribed Image Text:24. Find a power series for the function 4cos (-) centered at x = 0. A. 25. B. C. 4 E. 00 n=0 1=0 (-1)", 2- 42 (2n)! (-1), 2 (-1)+12+1 (2n + 1)! D. 4⁰⁰ (-1)"+1,2″ 4-0 (2n)! -. n2n+1 (-1)",2n 42n (2n)! 0 Find the interval of convergence of the sum A. B. C. D. E. - 14 ≤x≤8 14<x<8 124 <x< 118 124 <x< 118 [.. -1 -∞0<x<∞ (x²+6x +9)" 121" n
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