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7. Use the Root Test to determine whether the series is convergent or divergent. 5n Let L=lim la,I In=1 A. L= 32, the series is divergent B. L=0, the series is convergent C. L=48, the series is divergent D. L=1, the series is convergent

7. Use the Root Test to determine whether the series is convergent or divergent. 5n Let L=lim la,I In=1 A. L= 32, the series is divergent B. L=0, the series is convergent C. L=48, the series is divergent D. L=1, the series is convergent

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
7. Use the Root Test to determine whether the series is convergent or divergent. Σ 5n Let L=lim "la,l -2n n+1 A. L= 32, the series is divergent B. L= 0, the series is convergent C. L= 48, the series is divergent D. L=1, the series is convergent 8. Using the Ratio Test find the radius of convergence and interval of convergence. an+1 Let L= lim n-0o I an 2•4•6.....(2n) A. L= 0, then R=0 and I = 0 B. L= 1, then R =1 and I= (-1, 1) C.L= 2, then R= 2 and I= (-2, 2) D. L= 0, then R= 00 and I= (-0,00) 9. Find a Power series representation for the function and determine the radius of convergence and interval of convergence. xta f(x) = x²+q3 , a >0 (-1)"x²" A. f(x) = ,R = a and 1= (-a, a) a2n+1 "n=0 (-1)"x" B. f(x) = ,R= a and 1= (-a, a) an+1 00 (-1)"x²n C. f(x) = , R= 2a and | = (-2a,2a) a2n+1 (-1)"x" D. f(x) = R= 2a and 1=(-2a,2a) an+1 3
Transcribed Image Text:7. Use the Root Test to determine whether the series is convergent or divergent. Σ 5n Let L=lim "la,l -2n n+1 A. L= 32, the series is divergent B. L= 0, the series is convergent C. L= 48, the series is divergent D. L=1, the series is convergent 8. Using the Ratio Test find the radius of convergence and interval of convergence. an+1 Let L= lim n-0o I an 2•4•6.....(2n) A. L= 0, then R=0 and I = 0 B. L= 1, then R =1 and I= (-1, 1) C.L= 2, then R= 2 and I= (-2, 2) D. L= 0, then R= 00 and I= (-0,00) 9. Find a Power series representation for the function and determine the radius of convergence and interval of convergence. xta f(x) = x²+q3 , a >0 (-1)"x²" A. f(x) = ,R = a and 1= (-a, a) a2n+1 "n=0 (-1)"x" B. f(x) = ,R= a and 1= (-a, a) an+1 00 (-1)"x²n C. f(x) = , R= 2a and | = (-2a,2a) a2n+1 (-1)"x" D. f(x) = R= 2a and 1=(-2a,2a) an+1 3
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