Power series

  • Thread starter mathsnerd
  • Start date
  • #1
2
0
I'm trying to find the sum of the following series and am a bit stuck:

sum_{r=0}^{+\infty}1/(r*r!)

It looks a bit like e^1 but the extra r in the denominator is causing problems. Can anyone help?
 

Answers and Replies

  • #2
761
13
Where does this problem originates from?
 
  • #3
2
0
It's part of a birth rate for a birth and death process in a particular special case. The series looks like it should be summable but I can't think how to do it.
 

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