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3" 29. The series (x-2)" is convergent on the interval: (03) A) 5 7 B) 3 3 5 7 C) 3 3 5 7 D) 5 7 E) 3' 3

3" 29. The series (x-2)" is convergent on the interval: (03) A) 5 7 B) 3 3 5 7 C) 3 3 5 7 D) 5 7 E) 3' 3

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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3" 29. The series (x-2)" is convergent on the interval: (03) A) 5 7 B) 3 3 5 7 C) 3 3 5 7 D) 5 7 E) 3' 3
Transcribed Image Text:3" 29. The series (x-2)" is convergent on the interval: (03) A) 5 7 B) 3 3 5 7 C) 3 3 5 7 D) 5 7 E) 3' 3
Expert Solution
Step 1
The ratio test states that if lim -1 <1 then the series a,converges. 3" -(x-2)" and a,- Let a 3 n+1 -2) then n+1 n+1 = n 3PT*1 n1 limn+1lim n+1 3'" (x-2) n 3PH*1-(x-2) = lim n+1 3"- (x-2)" n1 3 (x-2) =lim n+1 -()x-2)
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