1 We know that Sn has interval of convergence (-1, 1). 1 - r n = 0 This means the series converges for |r| < 1. 1 Therefore, the series f(x) will converge when < 1. %3D 8 + x 87+1 n = 0 Thus, what is the interval of convergence for f(x)?

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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1
We know that
Sn has interval of convergence (-1, 1).
1 - r
n = 0
This means the series converges for |r| < 1.
1
Therefore, the series f(x)
will converge when
< 1.
%3D
8 + x
87+1
n = 0
Thus, what is the interval of convergence for f(x)?
Transcribed Image Text:1 We know that Sn has interval of convergence (-1, 1). 1 - r n = 0 This means the series converges for |r| < 1. 1 Therefore, the series f(x) will converge when < 1. %3D 8 + x 87+1 n = 0 Thus, what is the interval of convergence for f(x)?
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