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Convergence/Divergence of a Geometric series with a Factorial

  1. Mar 21, 2012 #1
    1. The problem statement, all variables and given/known data

    Determine if the sequence {an} below converges or diverges. Find the limit of each convergent sequence

    an = n!/nn

    Hint: Compare with 1/n .

    Find the limit of the sequence {an} if it converges.


    I missed the lesson on factorials, and the book is useless. Sorry if this seems rather simple...
     
  2. jcsd
  3. Mar 21, 2012 #2
    Factorial is n! = 1*2*3*..*n, and n^n = n*n*n*...*n. Which one is bigger now?
     
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