a) Find the power series centered at xo = 0 for the rational function 1 (1+3x)² b) Find the radius of convergence for the power series you found in a) .
a) Find the power series centered at xo = 0 for the rational function 1 (1+3x)² b) Find the radius of convergence for the power series you found in a) .
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
Question
Transcribed Image Text:a) Find the power series centered at xo
=
0 for the rational function
1
(1+3x)²
b) Find the radius of convergence for the power series you found in a) .
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