Use the limit comparision test to determine if the series converges. 15 In (n12) 2 [A] If you were to perform a limit comparison test, it would seem that a logical series to compare with would be 2 15 ln (n12) So, let an and b п п аn Find the lim O0 bn 15 In (n12) Based upon the result of the limit comparison test the condusion as regards to the series n 2 Test is inconclusive Diverges Converges [BJ Now, switch an and b and perform the limit comparision test again 15 In (n12) 1 and b So, let an __ п п an Find the lim 15 In (n12) Based upon the result of the limit comparison test the condusion as regards to the series . n 2 Test is inconclusive Converges Diverges oo [C] Now, perform a comparison test with and based upon the result the conclusion as regards to the series п -2 15 In (n12) n 2 Test is incondlusive Converges Diverges

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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Use the limit comparision test to determine if the series converges.
15 In (n12)
2
[A] If you were to perform a limit comparison test, it would seem that a logical series to compare with would be
2
15 ln (n12)
So, let an
and b
п
п
аn
Find the lim
O0 bn
15 In (n12)
Based upon the result of the limit comparison test the condusion as regards to the series
n
2
Test is inconclusive
Diverges
Converges
[BJ Now, switch an and b and perform the limit comparision test again
15 In (n12)
1
and b
So, let an
__
п
п
an
Find the lim
15 In (n12)
Based upon the result of the limit comparison test the condusion as regards to the series .
n
2
Test is inconclusive
Converges
Diverges
oo
[C] Now, perform a comparison test with
and based upon the result the conclusion as regards to the series
п
-2
15 In (n12)
n
2
Test is incondlusive
Converges
Diverges
Transcribed Image Text:Use the limit comparision test to determine if the series converges. 15 In (n12) 2 [A] If you were to perform a limit comparison test, it would seem that a logical series to compare with would be 2 15 ln (n12) So, let an and b п п аn Find the lim O0 bn 15 In (n12) Based upon the result of the limit comparison test the condusion as regards to the series n 2 Test is inconclusive Diverges Converges [BJ Now, switch an and b and perform the limit comparision test again 15 In (n12) 1 and b So, let an __ п п an Find the lim 15 In (n12) Based upon the result of the limit comparison test the condusion as regards to the series . n 2 Test is inconclusive Converges Diverges oo [C] Now, perform a comparison test with and based upon the result the conclusion as regards to the series п -2 15 In (n12) n 2 Test is incondlusive Converges Diverges
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