(2x Find the radius and interval of convergence of the power series : 3√√n²+1 n=0

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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Find the radius and interval of convergence of the power series
1. Using the power series
x² + x
(1-x)²
2. Evaluate the sum
for x < 1.
1
1 X
2n 1
3n
n=0
(2x - 1)"
3n √√n²+1
Σ
r for x < 1, obtain a power series representation of
n=0
using the series obtained in the previous item.
Transcribed Image Text:Find the radius and interval of convergence of the power series 1. Using the power series x² + x (1-x)² 2. Evaluate the sum for x < 1. 1 1 X 2n 1 3n n=0 (2x - 1)" 3n √√n²+1 Σ r for x < 1, obtain a power series representation of n=0 using the series obtained in the previous item.
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