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Using Ratio Test to Decide Convergent/Divergent

  1. Dec 8, 2011 #1
    1. The problem statement, all variables and given/known data

    MS5Nt.jpg

    3. The attempt at a solution

    7ctie.jpg

    I got that the limit goes to infinity using the Ratio Test and that would mean B. But I'm not 100% percent sure. Just looking for some to verify my answer if I'm correct or not.
     
  2. jcsd
  3. Dec 8, 2011 #2

    SammyS

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    Your limit is wrong, because your ratio is wrong.

    [itex]\displaystyle\frac{(n+2)!}{(n+3)!}=\frac{1}{n+3}[/itex]
     
  4. Dec 8, 2011 #3
    Wow. I haven't used factorials in a while and forgot how they were used. Now looking at the problem I get L=0. That tells me that the series converges absolutely.

    Thanks alot. There are so many things is math to remember when solving a problem.
     
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