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on 2 Determine the radius of convergence, R, of the following power series. Remember the radius of conver- gence is found by taking the Ratio Test limit (or Root Test), setting the result < 1, and manipulating to the form |x– a| < R. п(х + 3)" (а) 2n n=0

on 2 Determine the radius of convergence, R, of the following power series. Remember the radius of conver- gence is found by taking the Ratio Test limit (or Root Test), setting the result < 1, and manipulating to the form |x– a| < R. п(х + 3)" (а) 2n n=0

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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Question 2 Determine the radius of convergence, R, of the following power series. Remember the radius of conver- gence is found by taking the Ratio Test limit (or Root Test), setting the result < 1, and manipulating to the form |x – a| < R. п(x + 3)" (a) 2n n=0 (b) "(2n)!| (n!) n=0 x" [(2n)!] (c) E (n!)2 n=0 (d) (-1)",2n+1 (2n + 1)! n=0 (e) (-1)"n2(x – 2)2n 9n n=0
Transcribed Image Text:Question 2 Determine the radius of convergence, R, of the following power series. Remember the radius of conver- gence is found by taking the Ratio Test limit (or Root Test), setting the result < 1, and manipulating to the form |x – a| < R. п(x + 3)" (a) 2n n=0 (b) "(2n)!| (n!) n=0 x" [(2n)!] (c) E (n!)2 n=0 (d) (-1)",2n+1 (2n + 1)! n=0 (e) (-1)"n2(x – 2)2n 9n n=0
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