It is known that sin x = (Series 1) for all x ∈ R. 1. Find the Maclaurin series for x sin (x2) 2. Use the 7th degree Maclaurin polynomial for x sin (x2) to approximate the value of 0.1 sin (0.01). 3. Differentiate the Maclaurin series for x sin (x2) to determine the exact value of (Series 2)
It is known that sin x = (Series 1) for all x ∈ R. 1. Find the Maclaurin series for x sin (x2) 2. Use the 7th degree Maclaurin polynomial for x sin (x2) to approximate the value of 0.1 sin (0.01). 3. Differentiate the Maclaurin series for x sin (x2) to determine the exact value of (Series 2)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 28RE
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It is known that sin x = (Series 1) for all x ∈ R.
1. Find the Maclaurin series for x sin (x2)
2. Use the 7th degree Maclaurin polynomial for x sin (x2) to approximate the value of 0.1 sin (0.01).
3. Differentiate the Maclaurin series for x sin (x2) to determine the exact value of (Series 2)
Transcribed Image Text:α
Σn=0
η
1)f(4n + 3)π
(2n + 1)!
2n+1
Transcribed Image Text:η
1)
Ση
n=0 (2n + 1)! ·X
2n+1
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