The first line of yours is not true at all!
Good evening All,
I am wrapping up my final problem in the Root & Ratio Test section. I have the following:
So...
So...
So...
Inconclusive by the Ratio Test...
What's the next plan?
If I apply the Divergence Test (which should probably have been the first thing I did), I find...
Therefore, by the Divergence Test the series Diverges
Does anyone agree or disagree with this?
Cauchy convergence criteria:
D'alambert convergence criteria :
Raabel's convergence criteria:
for alternative series u'll use
Leibnitz convergence criteria:
converges if the conditions are met that :
1°
2° monotonically decreasing
if not then it diverges
or u can test it by the definition that say that converges if sequence which is sequence of partial sum, is :
there are more criteria but, it's not for real numerical series... it's for function series ...
if u look at that all under sum as
then your is:
"for is going to be and "
so when u put it in some of those criteria of convergence those a lot of members would be reduced...
like in D'alambert convergence criteria:
so it converges okay ?
Edit: Sorry i corrected that typo
Ok, I think I've gotten way too far off track here.
Starting with the original series:
What should my be equal to?
I understand all of the tests, but cannot seem to recognize the original series as something that I can work with.
I'm sure you've pointed out how to go from the original series to a more useable form, but I am having a hard time following you.