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15. Find the function represented by the power series Σ for all r<0. (2n)! (a) cosh(VE) (b) cosh( -a) (c) cos(VT) (d) cos(-1)

15. Find the function represented by the power series Σ for all r<0. (2n)! (a) cosh(VE) (b) cosh( -a) (c) cos(VT) (d) cos(-1)

Advanced Engineering Mathematics
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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please solve question number 15
(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!
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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