Find the MacLaurin’s series of f(x) = x5 sinx2 (2n+1)! (-1)"}x#n+2 (−1)" A. Σ=o 50 B. En=0" C. En=o Σ Ln=0 D. En=o (−1)n xan+2 (2n+1)! Ε. Σπο =0 (-1)nx4n+7 (2n+1)! (−1)" xan+6 (2n+1)! (-1)" x2n+6 (4n+6) (2n+1)!

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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QUESTION 16
Find the MacLaurin’s series of f(x) = x5 sinx2
A.Σ (1)*x*n+2
n=0 (2n+1)!
B. En=0"
(−1)n xan+2
(2n+1)!
(-1)" x4n+7
(2n+1)!
C. En=0|
Σ
D. En=o
00
Ε. Σ=0
(-1)" x4n+6
(2n+1)!
(-1) x²n+6
(4n+6) (2n+1)!
Transcribed Image Text:QUESTION 16 Find the MacLaurin’s series of f(x) = x5 sinx2 A.Σ (1)*x*n+2 n=0 (2n+1)! B. En=0" (−1)n xan+2 (2n+1)! (-1)" x4n+7 (2n+1)! C. En=0| Σ D. En=o 00 Ε. Σ=0 (-1)" x4n+6 (2n+1)! (-1) x²n+6 (4n+6) (2n+1)!
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