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converges or diverges and for what reason? (n!)/9^(n+1)

converges or diverges and for what reason? (n!)/9^(n+1)

Math   Calculus   
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Answer #1

Ratio test:-

If the series is defined as,

Then, the limit,

  1. If L<1, then the series is absolutely convergent and hence convergent.
  2. If L>1, then the series is divergent.
  3. If L=1, then the series may be conditionally convergent, absolutely convergent or divergent.

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