Use properties of power series, substitution, and factoring of constants to find the first four nonzero terms of the Taylor series centered at 0 for the function given below. Use the Taylor series (1+x)-2-1-2x+3x² - 4x³+, for -1
Use properties of power series, substitution, and factoring of constants to find the first four nonzero terms of the Taylor series centered at 0 for the function given below. Use the Taylor series (1+x)-2-1-2x+3x² - 4x³+, for -1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Transcribed Image Text:Use properties of power series, substitution, and factoring of constants to find the first four nonzero terms of the Taylor series centered at 0 for the function given below. Use the Taylor series (1+x)¯
(1+6x)
-2
The first term is
The second term is
The third term is
)-2-1-2x+3x² - 4x³. + ..., for - 1<x< 1.
The fourth term is
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