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2. For small x, the approximation sin x x is often used. For what range of x is this good to a relative accuracy of × 10-¹4? The Taylor expansion of sin æ about 0 is sin x = x2k+1 Σ(-1)*, (2k + 1)! k=0

2. For small x, the approximation sin x x is often used. For what range of x is this good to a relative accuracy of × 10-¹4? The Taylor expansion of sin æ about 0 is sin x = x2k+1 Σ(-1)*, (2k + 1)! k=0

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 22E
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2. For small x, the approximation sin x ≈ x is often used. For what range of x is this good to a relative accuracy of × 10-¹4? The Taylor expansion of sin x about 0 is sin x = ∞ x2k+1 Σ(-1)*. (2k + 1)! k=0
Transcribed Image Text:2. For small x, the approximation sin x ≈ x is often used. For what range of x is this good to a relative accuracy of × 10-¹4? The Taylor expansion of sin x about 0 is sin x = ∞ x2k+1 Σ(-1)*. (2k + 1)! k=0
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