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Convergent or divergent

  1. Sep 16, 2008 #1
    1)summation for n=0 to infinity for (n!/n^n)*exp^n. Can anyone help to prove whether this is convergent or divergent?
  2. jcsd
  3. Sep 16, 2008 #2


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    Can you refer to Stirling's formula? When you use it, the n term in the sequence is approximately (2(pi)n)1/2. The series could never converge, with the individual terms getting larger.
  4. Sep 21, 2008 #3
    thank a lot
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