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In Problems 11-14, find the first three nonzero terms in the power series expansion for the product f(x) g(x). 11. f(x) = e = ¹x 1 n=on! g(x) 00 = sin x = I 12. f(x) = sin x = g(x) = cos x = 00 (-1) k Σ k=0 (2k + 1)! 00 (-1) k k=0 (2k +1)!* (-1) k k=0 (2k)! x2k+1 00 1x²k +1₁ x2k

In Problems 11-14, find the first three nonzero terms in the power series expansion for the product f(x) g(x). 11. f(x) = e = ¹x 1 n=on! g(x) 00 = sin x = I 12. f(x) = sin x = g(x) = cos x = 00 (-1) k Σ k=0 (2k + 1)! 00 (-1) k k=0 (2k +1)!* (-1) k k=0 (2k)! x2k+1 00 1x²k +1₁ x2k

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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r- on ver ful = 0. 3) " +2)" 3 E $ 4 R F In Problems 9 E-o anx" for f(x) and g(x). k=0 9. f(x) = Σ 5 ∞o 2" 10. f(x) = Σ = (x-1)"-2, g(x) = Σ" (x-1)"-1 ∞ n² n=3 n! n=1. 11. f(x) = e* = Σ T Σ1, n=0 n + In Problems 11-14, find the first three nonzero terms in the power series expansion for the product f(x) g(x). G and 10, find the power series f(x) + g(x), given the expansions for I 12. f(x) = sin x = 2 g(x) = sin x = 6 n=on! g(x) = cos x = X 7 k=0 Σ k=0 g(x) = )=2234-1 U (-1) k (2k + 1)! (-1) k (2k + 1)! (-1) k k=0 (2k)! Σ * 8 1 x2k+1 x2k+1 9 K DD 1 Update Apple ID Settin- Some account services w available until you sign in O L P In gin 17. 18. 19. In F g(x) 21. 22.
Transcribed Image Text:r- on ver ful = 0. 3) " +2)" 3 E $ 4 R F In Problems 9 E-o anx" for f(x) and g(x). k=0 9. f(x) = Σ 5 ∞o 2" 10. f(x) = Σ = (x-1)"-2, g(x) = Σ" (x-1)"-1 ∞ n² n=3 n! n=1. 11. f(x) = e* = Σ T Σ1, n=0 n + In Problems 11-14, find the first three nonzero terms in the power series expansion for the product f(x) g(x). G and 10, find the power series f(x) + g(x), given the expansions for I 12. f(x) = sin x = 2 g(x) = sin x = 6 n=on! g(x) = cos x = X 7 k=0 Σ k=0 g(x) = )=2234-1 U (-1) k (2k + 1)! (-1) k (2k + 1)! (-1) k k=0 (2k)! Σ * 8 1 x2k+1 x2k+1 9 K DD 1 Update Apple ID Settin- Some account services w available until you sign in O L P In gin 17. 18. 19. In F g(x) 21. 22.
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