Prove $\sqrt{1+2\sqrt{1+3\sqrt{1+4\sqrt{\cdots}}}}=3$

Asked Oct 13 '13 at 13:50

Active Dec 06 '13 at 17:09

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Prove $\sqrt{1+2\sqrt{1+3\sqrt{1+4\sqrt{\cdots}}}}=3$

I tried to express it as a recursive sequence, but I failed.

edited Dec 06 '13 at 17:09

Martin Sleziak

asked Oct 13 '13 at 13:50

joe

1

http://math.stackexchange.com/questions/165671/convergence-of-the-sequence-sqrt12-sqrt1-sqrt12-sqrt13-sqrt1-sq – njguliyev Oct 13 '13 at 14:01
Thanks njguliyev (Iam also searching that solution) – juantheron Oct 13 '13 at 14:37

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