November 15th, 2010, 06:59 AM  #1 
Member Joined: Oct 2010 Posts: 43 Thanks: 0  NICEHELP
Let a be a postive real number. Let be a sequence defined by for all ...(there are exactly n numbers 2 in the numerator). Prove that the sequence ( has a finite limit and find thís limit. 
November 15th, 2010, 09:55 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 18,250 Thanks: 1439 
To what depth are the square roots in the numerator nested?


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