Find the following academic and rather difficult limit (sum of series)?

Find the following academic and rather difficult limit (sum of series)? http://www.forkosh.dreamhost.com/mimetex...
Good idea to ask it again if You don%26#039;t like numerical methods!

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Many many thanks.
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Yes, I needed an analytical solution.

Other Answers (1)

• = 1/2 +1/8 + 1/48 + 1/384 + 1/6144 + 1/196608 + 1/12582912 + .... + approaches 0
  
  = 0.652