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(d) Let (c) be a convergent sequence such that lim n = L where L 0. Cn+1 i. Show that lim = 1. 2004-2 11-∞ ii. Hence or otherwise, determine the radius R of convergence for the series ∞ Σcka. Analyse the convergence of the series for x = ±R. k=1

(d) Let (c) be a convergent sequence such that lim n = L where L 0. Cn+1 i. Show that lim = 1. 2004-2 11-∞ ii. Hence or otherwise, determine the radius R of convergence for the series ∞ Σcka. Analyse the convergence of the series for x = ±R. k=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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(d) Let (c) be a convergent sequence such that lim n = L where L 0. Cn+1 i. Show that lim = 1. 2004-2 11-∞ ii. Hence or otherwise, determine the radius R of convergence for the series ∞ Σcka. Analyse the convergence of the series for x = ±R. k=1
Transcribed Image Text:(d) Let (c) be a convergent sequence such that lim n = L where L 0. Cn+1 i. Show that lim = 1. 2004-2 11-∞ ii. Hence or otherwise, determine the radius R of convergence for the series ∞ Σcka. Analyse the convergence of the series for x = ±R. k=1
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