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Sum of reciprocals (Posted on 2018-06-22) Difficulty: 3 of 5
Evaluate the sum of reciprocals of double factorial of even nonnegative integers.

No Solution Yet Submitted by Ady TZIDON    
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Analyical Solution Comment 2 of 2 |
the taylor series for e^(x^2/2) is the sum of x^(2k)/(2k!!)  where !! is the double factorial, if you set x=1 we get the desired sum.  Thus the sum is equal to e^(1/2).
  Posted by Daniel on 2018-06-22 21:36:18
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