00 Write the Maclaurin series for f(x) = 7cos(4x²) as Σ n=0 Find the following coefficients. Co= C₂= C4= C6= C8= C”

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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Find the following coefficients.
Co=
C₂=
C4=
00
Write the Maclaurin series for f(x) = 7cos(4x²) as Σ
C6=
C8=
C”
n=0
Transcribed Image Text:Find the following coefficients. Co= C₂= C4= 00 Write the Maclaurin series for f(x) = 7cos(4x²) as Σ C6= C8= C” n=0
*) Match each of the Maclaurin series with correct function.
1.
2.
3.
4.
n=0
00
n=0
00
Σ
n=0
00
n=0
A. 2arctan(x)
B. e2x
C. cos(2x)
D. 2sin(x)
2x²n+1
(2n + 1)!
(-1)"
2n
(-1) 222
(2n)!
2"x²
n!
(-1) "2x²n+1
2n + 1
Transcribed Image Text:*) Match each of the Maclaurin series with correct function. 1. 2. 3. 4. n=0 00 n=0 00 Σ n=0 00 n=0 A. 2arctan(x) B. e2x C. cos(2x) D. 2sin(x) 2x²n+1 (2n + 1)! (-1)" 2n (-1) 222 (2n)! 2"x² n! (-1) "2x²n+1 2n + 1
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