Recent content by kuczmama

Homework Statement How many terms of the series ∞ Ʃ (-1)n/(ln(n+1)) n=1 are needed in order to estimate the exact sum within .01 Homework Equations I know that I need to use the remainder estimate for the integral test where Rn=s-sn and that ∫ from (n+1) to ∞ of f(x)dx \leq Rn...

I got that the integral converges to 4. I guess that this means the sum also converges. Thanks a lot guys!

Also I never thought about the integral test. I will try that

for the limit comparison test I tried a bunch of different comparisons. I said as lim n-> infinity of lim n→∞. of (ln(n)/(nsqrt(n))/(1/n^5/4).That didnt give me any help. Then I tried comparing it to 1/n^1/4. Then I tried comparing it to a bunch of other stuff but nothing seemed to...

Homework Statement infinity Ʃ \frac{ln(n)}{n\sqrt{n}} n=1 Homework Equations I think that I need to use either the limit comparison test or the ratio test. The Attempt at a Solution After listing all the terms I found out that the function was positive and decreasing, and that...

Ohh ok. Thank you so much. I just figured it out. I now know that the sum is (3/2). I didnt know you could factor it out like that. that helps so much.

this is probably a dumb question, but how do I factor something out if it is a sequence. I really don't know how to factor a 4 out of the denominator. like would I multiply the problem by 1/4

I can't find a common r value. I don't think it is a geometric series. So I am pretty lost still.

do you mean break it up into two integrals? or would it be like Ʃ2n/4n+1 +Ʃ 3n/4n+1 Can you break it up like that?

I know that a geometric series is like a+ar+ar2+ar3+...arn, but I don't know how to re-write this in that form

Homework Statement infinity Ʃ(2n+3n)/(4n+1) n=0 Homework Equations We learned the integral test. The p-series. The nth term test. The Attempt at a Solution I figured out that the terms are positive and that they approach 0. the first couple of terms are (2/4)+ 5/16+13/64+35/256+...