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(-1)*x2* 1. For all x E R, cos x = (2n)! n=0 b. Differentiate the series in item 1(a) to find a power series that is equal to cos(x²) – 2x² sin(x²) for all x E R.

(-1)*x2* 1. For all x E R, cos x = (2n)! n=0 b. Differentiate the series in item 1(a) to find a power series that is equal to cos(x²) – 2x² sin(x²) for all x E R.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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(-1)"x2n Σ (2n)! 1. For all x E R, cos x = n=0 b. Differentiate the series in item 1(a) to find a power series that is equal to cos(x²) – 2x² sin(x²) for all x E R.
Transcribed Image Text:(-1)"x2n Σ (2n)! 1. For all x E R, cos x = n=0 b. Differentiate the series in item 1(a) to find a power series that is equal to cos(x²) – 2x² sin(x²) for all x E R.
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