(a) Find a power series representation for f(x) = (b) Use your answer in part (a) to evaluate the indefinite integral as a power series. Find the radius of convergence. 1-x² 1 1-x8 dx

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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(a) Find a power series representation for f(x) =
1
1-x8
(b) Use your answer in part (a) to evaluate the indefinite integral as a power series. Find the
radius of convergence.
x
Smar
- dx
Transcribed Image Text:(a) Find a power series representation for f(x) = 1 1-x8 (b) Use your answer in part (a) to evaluate the indefinite integral as a power series. Find the radius of convergence. x Smar - dx
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