How do I use the Alt series test on this summation? I'm pretty sure that the function is > 0, but I'm not sure if its decreasing.

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- April 7th 2009, 03:23 PMsaiyanmx89Alt Series test

How do I use the Alt series test on this summation? I'm pretty sure that the function is > 0, but I'm not sure if its decreasing. - April 7th 2009, 03:47 PMCaptainBlack
- April 7th 2009, 03:48 PMcoolguy99
Well, you can't get a negative number with ln(anything) as long as there are no negatives outside the function, so it is indeed positive. And it is decreasing, because as n increases, the denominator increases, so the values are getting smaller and smaller.

- April 7th 2009, 05:57 PMsaiyanmx89
once I took the limit of the absolute value of the function, I found it to be divergent. Am I correct? I hope so....

- April 7th 2009, 06:01 PMmr fantastic
Please state the alternating series test (here is some help: Alternating series test - Wikipedia, the free encyclopedia)

Now look at the previous posts again. - April 7th 2009, 06:19 PMsaiyanmx89
1)

2) is decreasing

3) =

By Alt Series Test, is divergent. - April 7th 2009, 06:21 PMmr fantastic