Ratio test to Determine if a Series is Convergent or Divergent

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How to use the ratio test to test for the convergence of a series.

There are three outcomes to the ratio test when finding the limit of the absolute value of the next term divided by the previous term of a series. The outcomes are listed below as:

- If the limit is less than 1 then the series is convergent
- if the limit is greater than 1 then the series is divergent
- if the limit is equal to 1 then the ratio test is inconclusive

Music by Adrian von Ziegler
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whats the name of the song(s) in this video by Adrian von Ziegler, if you dont mind?

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