Use the power series Σ. E(-1)"x" 1 + x n = 0 to determine a power series, centered at 0, for the function. f(x) = arctan 9x Σ f(x) Identify the interval of convergence. (Enter your answer using interval notation.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Use the power series
Σ.
E(-1)"x"
1 + x
n = 0
to determine a power series, centered at 0, for the function.
f(x)
= arctan 9x
Σ
f(x)
Identify the interval of convergence. (Enter your answer using interval notation.)
Transcribed Image Text:Use the power series Σ. E(-1)"x" 1 + x n = 0 to determine a power series, centered at 0, for the function. f(x) = arctan 9x Σ f(x) Identify the interval of convergence. (Enter your answer using interval notation.)
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