|Nov16-10, 06:34 PM||#1|
Need help on this series test for convergence or divergence
1. The problem statement, all variables and given/known data
The equation is the summation from n=1 to infinity of [(-1)^n] / [sqrt(2n+3)].
2. Relevant equations
If the series An is compared to a a series Bn that diverges and the series An is greater than the series Bn they both diverge.
If the limit from n to infinity of An/Bn is greater than 1, they both converge or diverge.
3. The attempt at a solution
Can I compare this to 1/sqrt(2n), which is greater than the main problem, and then use the limit comparison test to conclude that the series diverges?
Is this correct?
|Nov16-10, 06:41 PM||#2|
Have you heard of one of the following: Abels criterion, Dirichlets criterion, Leibniz criterion?
|Nov16-10, 07:00 PM||#3|
No, I haven't heard of any of those.
I used the limit comparison test on the two series sqrt(2n)/sqrt(2n+3) which equals to one. Doesn't that prove they are both divergent because the limit is greater than 0 due to the limit comparison test?
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