Ratio Test for Series - Convergence or Divergence - Calculus

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In this calculus video I will show you how to use the ratio test to detemine the convergence or divergence of Series.
We have to find the limit of a(n+1)/a(n) as n goes to infinity and then:

If the limit of the ratio is less than 1, the series converges.

If the limit is greater than 1, the series diverges.
If the limit equals 1, the ratio test is inconclusive and we have to use other tests to determine convergence or divergence.
  1. Calculus
  2. ratio test
  3. calculus
  4. ratio test with factorials
  5. convergence
  6. divergence
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Комментарии
Автор

This video is amazing !!! - I loved your explanation.

It has what all other videos lack of, which is explaining things such as why you can ignore some terms when calculating limits, or how to perform the "basic" fraction computations - I hadn't found a video like this in any other topic, and this is absolutely wonderful for someone who struggles to see that kind of steps in between.

Thank you absolutely much !!

dayanalucio
Автор

Saving lives with these videos. Thank you!

miraair