Maclaurin series

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 a Maclaurin series for f(x). (Use
f(x) =
f(x) = x +
6
12
√²^ √
1 + t5 dt
∞0
Σ
n = 2
(2η)!
- for 1 · 3 · 5 ... (2η – 3).)
2"n! (2n-1)
(-1)-1(2n)x5n+1
( 5n + 1) ( 2n − 1 ) ( 2n! ) ²
Transcribed Image Text:Find a Maclaurin series for f(x). (Use f(x) = f(x) = x + 6 12 √²^ √ 1 + t5 dt ∞0 Σ n = 2 (2η)! - for 1 · 3 · 5 ... (2η – 3).) 2"n! (2n-1) (-1)-1(2n)x5n+1 ( 5n + 1) ( 2n − 1 ) ( 2n! ) ²
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