Help me find y in this equation

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amriths04

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y = sqrt(1 + 2(sqrt(1 + 3(sqrt(1 + 4(sqrt(1 + 5(sqrt(1 + ... to infinity..

what is y?.

NOTE:
(this cannot be done using straight-forward techniques).
 

Re: reply if you can..

y=3.
This is a Putnam problem, see
**broken link removed**

Mate
 

Re: reply if you can..

great. this can be proved using the reverse technique. you ae right.
 

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