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Given the following power series, find the radius of convergence. HINT: Determine if you want to use the Ratio or Root test. Then, solve for x. 00 1. Σ (-1)"n (x + 3)" n = 1 5*

Given the following power series, find the radius of convergence. HINT: Determine if you want to use the Ratio or Root test. Then, solve for x. 00 1. Σ (-1)"n (x + 3)" n = 1 5*

Calculus: Early Transcendentals
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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00 6. Σ (n+1) (2n+1)! (x – 2)" n = 1
Transcribed Image Text:00 6. Σ (n+1) (2n+1)! (x – 2)" n = 1
Power Series and Radius of Convergence Given the following power series, find the radius of convergence. HINT: Determine if you want to use the Ratio or Root test. Then, solve for x. 1. E 5" (-1)"n (x + 3)" n = 1 2. E (4x – 8)" n n = 1 3. Е п! (4х + 1)" n = 1 (х-10)" 4. Σ n = 1 2n 5. Σ (-4)" n = 1 8
Transcribed Image Text:Power Series and Radius of Convergence Given the following power series, find the radius of convergence. HINT: Determine if you want to use the Ratio or Root test. Then, solve for x. 1. E 5" (-1)"n (x + 3)" n = 1 2. E (4x – 8)" n n = 1 3. Е п! (4х + 1)" n = 1 (х-10)" 4. Σ n = 1 2n 5. Σ (-4)" n = 1 8
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