11. Find the Maclaurin series of (1- a)-. (a) E(") ()" (1) È(")(-)" -2n (e) E(")(-)" 72 12. Find the Maclaurin series of (1-). (») È()() 2n -2n (a) E) 13. Find the Maclaurin series of sin-r. (b) E(-2)(-)an+1 (2n + 1)2m (c) (2m) (-r)2n+1 (2n + 1)22 2n+1 (a) E(") (2n + 1)2 14. Find the function represented by the power series for all r 0. (2n)!
11. Find the Maclaurin series of (1- a)-. (a) E(") ()" (1) È(")(-)" -2n (e) E(")(-)" 72 12. Find the Maclaurin series of (1-). (») È()() 2n -2n (a) E) 13. Find the Maclaurin series of sin-r. (b) E(-2)(-)an+1 (2n + 1)2m (c) (2m) (-r)2n+1 (2n + 1)22 2n+1 (a) E(") (2n + 1)2 14. Find the function represented by the power series for all r 0. (2n)!
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
please solve question number 13
Transcribed Image Text:(b) E
(a) E(
Find the Maclaurin series of (1+ x).
10.
(b) È(")(-)"
-2n
(0) E(")(-)"
2n
11.
Find the Maclaurin series of (1 - x)},
(a) È(") ()"
(e) E(")(-)"
-2n
12.
Find the Maclaurin series of (1-).
(a) Č("))°
(e) È(")(--)"
2n
13.
Find the Maclaurin series of sin-r.
(-r)2n+1
(2n + 1)22n
r2n+1
-2n
(2n
(-a)2n+1
(c) E)
(2n
+ 1)22"
(2n + 1)22
0
14.
Find the function represented by the power series
Σ
for all z 0.
(2n)!
(a) cosh(T)
(b) cosh(-r)
(c) cos(V)
(d) cos(-r)
3.
15.
Find the function represented by the power series
Σ
for all r <0.
(2n)!
(a) cosh(V)
(b) cosh(-r)
(c) cos(VT)
(d) cos(V-1)
W!
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