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convergence. n=0 (n+1)3 00 n+1 x2+1 n=0(n+1)3 (+1) x^2+1 n=0(n+1)3" 00 1n (3) - Σ In (3) - (n+1) 00 X n n=1 n3 72 72 n=1n3n " " " R = 1 R = 1 R=3 R = 3 R = 1

convergence. n=0 (n+1)3 00 n+1 x2+1 n=0(n+1)3 (+1) x^2+1 n=0(n+1)3" 00 1n (3) - Σ In (3) - (n+1) 00 X n n=1 n3 72 72 n=1n3n " " " R = 1 R = 1 R=3 R = 3 R = 1

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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Find a power series representation for the function f(x) = ln(3 — x), as well as its radius of convergence. 00 Σ n=0 (n + 1 00 72 = 0 00 z+1)3 x^²+1 0 (n+1) 3 (²+1) n+1 n+1 In (3) - (n+1) n=0(n+1) 3² 00 n X 00 1n (3) - Σ R=3 n=1 nzn 72 n=1n3" 9 > 2 R = 1 " R = 1 R=3 R = 1
Transcribed Image Text:Find a power series representation for the function f(x) = ln(3 — x), as well as its radius of convergence. 00 Σ n=0 (n + 1 00 72 = 0 00 z+1)3 x^²+1 0 (n+1) 3 (²+1) n+1 n+1 In (3) - (n+1) n=0(n+1) 3² 00 n X 00 1n (3) - Σ R=3 n=1 nzn 72 n=1n3" 9 > 2 R = 1 " R = 1 R=3 R = 1
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