Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) = ∞ n = 0 f(x) = 9 1 - x² Determine the interval of convergence. (Enter your answer using interval notation.)

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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Find a power series representation for the function. (Give your power series representation centered at x = 0.)
f(x)
=
∞
n = 0
f(x)
=
9
1-x²
Determine the interval of convergence. (Enter your answer using interval notation.)
Transcribed Image Text:Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) = ∞ n = 0 f(x) = 9 1-x² Determine the interval of convergence. (Enter your answer using interval notation.)
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