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Find Maclaurin series for the following functions 1) e-sx Ans. n=0 (-5.x)" n!

Find Maclaurin series for the following functions 1) e-sx Ans. n=0 (-5.x)" n!

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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Find Maclaurin series for the following functions 1) asx e 2) 5 sin(-x) 3) cos √√x+1 xe* 5) 6) 7) 8) 9) -1+ cos x 2 xCOS(π· x) cos(x) 1-2x 1 (1-x)² Ans. (-5x)" n=0 n! 2n+1 Ans. 25-1)"(-x) n=0 (2n + 1)! Ans. Σ 5(-1)(x+1)" #=0 (2n)! +1 Ans. Σ Σ Ans. Σ(-1)"x" n=2 (2η)! Ans. (-1)"m2x20 n=0 (2η)! Ans. 1+ Σ (−1)" (2x)" n=1 2. (2n)! Ans.x^Σ (2x)" n=0 00 Ans. Enx" n=1
Transcribed Image Text:Find Maclaurin series for the following functions 1) asx e 2) 5 sin(-x) 3) cos √√x+1 xe* 5) 6) 7) 8) 9) -1+ cos x 2 xCOS(π· x) cos(x) 1-2x 1 (1-x)² Ans. (-5x)" n=0 n! 2n+1 Ans. 25-1)"(-x) n=0 (2n + 1)! Ans. Σ 5(-1)(x+1)" #=0 (2n)! +1 Ans. Σ Σ Ans. Σ(-1)"x" n=2 (2η)! Ans. (-1)"m2x20 n=0 (2η)! Ans. 1+ Σ (−1)" (2x)" n=1 2. (2n)! Ans.x^Σ (2x)" n=0 00 Ans. Enx" n=1
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