Register to reply

Using the limit comparison test

by hivesaeed4
Tags: comparison, limit, test
Share this thread:
hivesaeed4
#1
Apr2-12, 10:26 PM
P: 217
I'm given the following:
3/(n(2^(n-1)))
I have to determine convergence using the limit comparison test. I've proved its convergent using the ratio test but am struggling with which term do I divide the above for the limit comparison test. Help?
Phys.Org News Partner Science news on Phys.org
Experts defend operational earthquake forecasting, counter critiques
EU urged to convert TV frequencies to mobile broadband
Sierra Nevada freshwater runoff could drop 26 percent by 2100
hivesaeed4
#2
Apr2-12, 10:31 PM
P: 217
Don't bother replying. I figured it out.
hivesaeed4
#3
Apr2-12, 10:34 PM
P: 217
I have just one question. Suppose the limit comparison test evaluates to infinity. Would it still prove convergence?

DonAntonio
#4
Apr3-12, 06:43 AM
P: 606
Using the limit comparison test

Quote Quote by hivesaeed4 View Post
I have just one question. Suppose the limit comparison test evaluates to infinity. Would it still prove convergence?

Either you're asking something else or you're confusing the limit comparison test: this test tells you that if the limit of the quotient of two positive sequences exists finitely and is NOT zero, then the series whose general term is one of the seq's converges iff the series whose general term is the other seq. converges...so what's your question?

DonAntonio
hivesaeed4
#5
Apr3-12, 09:25 AM
P: 217
Sorry. I should have been clearer. The question was if the limit comparison test evaluates to infinity and we used a series whose general term was known to be convergent then the series whose general term's convergence we have to determine, is it also convergent. You answered that question by stating the finite part. Thanks


Register to reply

Related Discussions
Limit comparison test Calculus & Beyond Homework 14
Limit Comparison/Comparison Test on Non-rational functions Calculus & Beyond Homework 5
(Limit) Comparison Test Calculus & Beyond Homework 5
Estimating error using comparison/limit comparison test Calculus 0
Limit comparison test. Calculus & Beyond Homework 3