Home > Just Math > Calculus
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


Please log in:
Forums (1)
Newest Problems
Random Problem
FAQ 
About This Site
Site Statistics
New Comments (8)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On
Chatterbox:
