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Use the Maclaurin series cos x = με x9 cos(x9/2) da = 8 Σ /0 n=0 πλη Σ(-1)" . n=0 to approximate the following definite integral with |error|< 0.0003 . (2η)! dx How many terms are needed to reach this approximation? - 198 Σ n=0 ] 1 0

Use the Maclaurin series cos x = με x9 cos(x9/2) da = 8 Σ /0 n=0 πλη Σ(-1)" . n=0 to approximate the following definite integral with |error|< 0.0003 . (2η)! dx How many terms are needed to reach this approximation? - 198 Σ n=0 ] 1 0

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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Use the Maclaurin series cos x = 1 S x⁹ cos(x⁹/²) dx 0 = /' £ S 0 n=0 ∞ x²n Σ(-1)". to approximate the following definite integral with lerror|≤ 0.0003. (2n)! n=0 dx How many terms are needed to reach this approximation? ∞ n=0 1 0
Transcribed Image Text:Use the Maclaurin series cos x = 1 S x⁹ cos(x⁹/²) dx 0 = /' £ S 0 n=0 ∞ x²n Σ(-1)". to approximate the following definite integral with lerror|≤ 0.0003. (2n)! n=0 dx How many terms are needed to reach this approximation? ∞ n=0 1 0
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