00 1 Given that > x", which converges for x in (–1, 1), find the power series representation for the function f(x) = 1-x8 1 - x n=0 centered at a = 0 and find its interval of convergence. 00 1 Σ The power series for the function is f(x) help (formulas) 1– x8 n=0 Interval of convergence is help (intervals)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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1
Given that
1
> x", which converges for x in (-1, 1), find the power series representation for the function f(x) =
1-x8
- X
n=0
centered at a = 0 and find its interval of convergence.
1
The power series for the function is f(x) =
Σ
help (formulas)
1 - x8
n=0
Interval of convergence is
help (intervals)
Transcribed Image Text:1 Given that 1 > x", which converges for x in (-1, 1), find the power series representation for the function f(x) = 1-x8 - X n=0 centered at a = 0 and find its interval of convergence. 1 The power series for the function is f(x) = Σ help (formulas) 1 - x8 n=0 Interval of convergence is help (intervals)
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