07/10/2010, 05:19 AM
(This post was last modified: 07/10/2010, 05:32 AM by Base-Acid Tetration.)
The same method of proof could possibly be used to easily prove that, possibly for all k>4, limit of self-hyper-k-root(x) as x -> infinity = \( \eta_k \) (defined as the largest real x such that \( x[k]\infty < \infty \), i.e. where the maximum of self-hyper-(k-1)-root function occurs; let's establish this notation); yeah I know, I only substituted the pentation-analogues into the proof and quickly checked.
