So, blogger is finally accepting my password and I can now do my blog the right way! Yayy!
So, this week, on the days I was here, we reviewed and took some quizzes.
I will explain, to the best of my knowledge of how to tell if something converges or diverges.
So, first things first you shoud check if it's geometric. Geometric is when something is being multiplied to every term in the series. If the thing that is getting multiplied to is less than one, the series CONVERGES.
Next, is alot like geometric..P-Series. Its p-series if you have a fraction and the bottom is n raised to the number exponent. If your number is less than or equal to one it DIVERGES, if its greater than one it CONVERGES.
Now, lets go over the limit comparison test, you take an equaiton and simplify it by taking the greatest exponent terms and taking the limit of that...
HERE COMES MY QUESTION: WHAT DOES THIS TELL YOUUUUUU?
I have the same question for Direct Comparison Test along with the integral test.
Can anyone tell me how these three tests give you an answer..and how do you know if it doesn't help you?
Subscribe to:
Post Comments (Atom)
When you take the limit and get an answer, it will either be convergent divergent or inconclusive, depending on what your integrals are for that test. If it doesn't work (inconclusive) then try another test.
ReplyDeletefor direct comparison, after comparing it to something, you use your regular testing things (nth term, geo, pseries). If what you get converges, the original converges, and if what you diverges, your original diverges.
ReplyDelete