5. Find the Taylor series for f(x) = centered at a = 4. 1.3.5..... (2n – 1) |1+E(-1)"- (r- 4)" n! 23n n=1 1+£(-1)" 1.3.5..... (2n + 1) n! 23n-1 (x – 4)"| (b) n=1 2+£(-1)"+11:3·5.. n! 23n · (2n 1) (x – 4)" .... . (c) n=1 (Зп — 1) n! 23n-1 2.5.8... ..... (d) 1+E(-1)": (x – 4)" 1.3.5. (2n + 1) 2+E(-1)". .... (e) (x- 4)" n! 23n n=1 H IN

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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Question
5. Find the Taylor series for
f(x) =
centered at a = 4.
1.3.5..... (2n – 1)
|1+E(-1)"-
(r- 4)"
n! 23n
n=1
1+£(-1)"
1.3.5..... (2n + 1)
n! 23n-1
(x – 4)"|
(b)
n=1
2+£(-1)"+11:3·5..
n! 23n
· (2n
1)
(x – 4)"
.... .
(c)
n=1
(Зп — 1)
n! 23n-1
2.5.8...
.....
(d)
1+E(-1)":
(x – 4)"
1.3.5.
(2n + 1)
2+E(-1)".
....
(e)
(x- 4)"
n! 23n
n=1
H IN
Transcribed Image Text:5. Find the Taylor series for f(x) = centered at a = 4. 1.3.5..... (2n – 1) |1+E(-1)"- (r- 4)" n! 23n n=1 1+£(-1)" 1.3.5..... (2n + 1) n! 23n-1 (x – 4)"| (b) n=1 2+£(-1)"+11:3·5.. n! 23n · (2n 1) (x – 4)" .... . (c) n=1 (Зп — 1) n! 23n-1 2.5.8... ..... (d) 1+E(-1)": (x – 4)" 1.3.5. (2n + 1) 2+E(-1)". .... (e) (x- 4)" n! 23n n=1 H IN
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