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Powering Up the Root (Posted on 20110924) 

A sequence {A(n)} satisfies:
A(1) = √2, and:
A(n)= (√2)^{A(n1)} for n =2, 3,……
Determine this limit:
Limit A(n)
n → ∞
No Solution Yet

Submitted by K Sengupta

Rating: 2.0000 (1 votes)


By inspection (spoiler)

 Comment 2 of 3 

If it has a limit x,
then x= sqrt(2)^x
So yes, x = 2


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