Absolute Convergence, Conditional Convergence, Another Example 3

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  1. patrickJMT
  2. series
  3. converge
  4. diverge
  5. absolute
  6. conditional
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Комментарии
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@1Yasi Dividing everything in this equation by n^5 and taking the limit as n--> infinity, you will be left with 0/infinity which = 0 meaning this series converges. The test for divergence fails and you have to use another method to solve this.

MrKayhen
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why no conditional convergent samples? ty for your videos, they are great!

rostyloco
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why did u divide by 1/n^2 in the second part?

mppmahendra
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whoops, I said that the limit = 0 which means it converges, this is not the case. This means you must use other tests to figure out whether or not this series converges or diverges and patrickJMT did the other tests.

MrKayhen
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not Abs.Convergent. Just Convergent, since the +4 is like nothing so you can write it like
(n^3 +n)/n^5 . by simplifying we write, (1/n^2)+(1/n^4) = convergent+convergent = convergent

MyVipr
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Patrick you fucked me up on this question... doesnt your answer (1) only mean that the series is divergent? Check again please

osama