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Assistance with an infinetly nested radical

  1. Aug 26, 2010 #1
    Hello, and thank you for any assistance offered.

    I believe the attached nested radical to converge to a value, but I can't find what it is. I've tried the typical recursive function methods to no luck.
     

    Attached Files:

  2. jcsd
  3. Aug 27, 2010 #2
    Yes, it converges. To prove it, we compare it to a convergent nested radical.
    But the anylitical computation of the limit value is a challenge.
     

    Attached Files:

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