Crazy conjecture connecting the sqrt(e) and tetrations!
#6
(04/22/2010, 12:41 PM)bo198214 Wrote: (...)
Sounds really interesting, however I have no idea how to tackle.

Hmm, I do not really see a good possibility to tackle this. Just want to note that one can rewrite this

\( \lim_{n\to \infty} b\^\^^n < c\^\^^m < b\^\^^{(n+1)} \)

where \( b=\eta+1/\exp(k) \) and \( c=\eta+1/ \exp(1+k) \) and then

\( m \to n*1.64... = n*\exp (0.5) \) with some k
Gottfried Helms, Kassel
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RE: Crazy conjecture connecting the sqrt(e) and tetrations! - by Gottfried - 02/28/2011, 02:43 PM

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