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Limits of convergent sequences

  1. Mar 24, 2014 #1
    1. The problem statement, all variables and given/known data

    an= (n/n+2)^n

    ANS: 1/e^2

    3. The attempt at a solution

    I was told this was convergent and I need to find the limit of the sequence. How do I do this, as I seem to keep getting that this is divergent. Isn't it divergent to infinity? Or am I missing something?
     
  2. jcsd
  3. Mar 24, 2014 #2
    Actually, this was silly of me. I figured it out.
     
  4. Mar 24, 2014 #3

    LCKurtz

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    Good. But as a reminder, ##\frac n n +2 = 1+2 = 3## so ##a_n = 3^n##. If you meant something else you should either use Latex or use proper parentheses.
     
    Last edited: Mar 24, 2014
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