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Find a power series representation for the function rsin(5) on (-00, 00). α 1. f(x) = Σ (-1)"-1 n=1 3. f(x) 4. f(x) = ∞ 1 2. f(x) = Σ (1)"-1, (n − 1)! n=1 E 52n Σ (1)"-1, n=1 Σ n=1 2η – - 1 τη 5n (n-1)! (−1)n-15¹-1 n-jan 1 5. f(x) = Σ (-1)"-1, η 2η (2η)! n=1 6. f(x) = Σ (-1)"-1, x2n 52n-1 (2η – 1)!

Find a power series representation for the function rsin(5) on (-00, 00). α 1. f(x) = Σ (-1)"-1 n=1 3. f(x) 4. f(x) = ∞ 1 2. f(x) = Σ (1)"-1, (n − 1)! n=1 E 52n Σ (1)"-1, n=1 Σ n=1 2η – - 1 τη 5n (n-1)! (−1)n-15¹-1 n-jan 1 5. f(x) = Σ (-1)"-1, η 2η (2η)! n=1 6. f(x) = Σ (-1)"-1, x2n 52n-1 (2η – 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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Is it option 6?
Find a power series representation for the function f(x) =X x sin(5x) on (-∞, ∞). 8 52n 1. f(x) = (-1)-1; -x²n 2n - 1 n=1 8 2. f(x) = (-1)-1. n=1 8 n=1 3. f(x) = (-1)-1. 1 (n − 1)! x 4. f(x) = Σ (−1)n-15¹-1 n-1 n=1 n=1 5n (n−1)!* ∞ 5. f(x) = (-1)¹–¹. n-1 1 (2n)! 6. f(x) = (-1)-1. x²n 52n-1 (2n-1)! x²n
Transcribed Image Text:Find a power series representation for the function f(x) =X x sin(5x) on (-∞, ∞). 8 52n 1. f(x) = (-1)-1; -x²n 2n - 1 n=1 8 2. f(x) = (-1)-1. n=1 8 n=1 3. f(x) = (-1)-1. 1 (n − 1)! x 4. f(x) = Σ (−1)n-15¹-1 n-1 n=1 n=1 5n (n−1)!* ∞ 5. f(x) = (-1)¹–¹. n-1 1 (2n)! 6. f(x) = (-1)-1. x²n 52n-1 (2n-1)! x²n
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