Find a power series representation for the function. f(x) = x³ tan-¹(x³) f(x) = 8n+9(-1)" 2n + 1 Σ( * X n = 0 X Determine the radius of convergence, R. R = 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Find a power series representation for the function.
f(x) = x³ tan-¹(x³)
f(x)
=
Σ
n = 0
8n+9(-1)"
2n + 1
X
X
Determine the radius of convergence, R.
R = 1
Transcribed Image Text:Find a power series representation for the function. f(x) = x³ tan-¹(x³) f(x) = Σ n = 0 8n+9(-1)" 2n + 1 X X Determine the radius of convergence, R. R = 1
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