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Power Series from Known Series Write down the first two terms in the Taylor series for sin x about x = 0. Use this to get a polynomial approximation of sin(t²) that is valid for small values of t. X = [sin (1²) de dt Use the result of a) to obtain an approximate to F(x)= that is valid for small x.

Power Series from Known Series Write down the first two terms in the Taylor series for sin x about x = 0. Use this to get a polynomial approximation of sin(t²) that is valid for small values of t. X = [sin (1²) de dt Use the result of a) to obtain an approximate to F(x)= that is valid for small x.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 73E
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Calculus II

Power Series from Known Series a) Write down the first two terms in the Taylor series for sin x about x = 0. Use this to get a polynomial approximation of sin(t²) that is valid for small values of t. X b) Use the result of a) to obtain an approximate to F(x) = sin(t²) dt -jšn(2 Jak 0 that is valid for small x.
Transcribed Image Text:Power Series from Known Series a) Write down the first two terms in the Taylor series for sin x about x = 0. Use this to get a polynomial approximation of sin(t²) that is valid for small values of t. X b) Use the result of a) to obtain an approximate to F(x) = sin(t²) dt -jšn(2 Jak 0 that is valid for small x.
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