Definition:Power Tower Function

Definition
The power tower function is the real function $f: \R \to \R$ defined on the closed interval $\closedint {e^{-e} } {e^{1/e} }$ as:


 * $\map f x = x^{x^{x^{x^{x^{\cdot^{\cdot^\cdot} } } } } }$

where the tower of powers tends to infinity.

Also see

 * Interval of Definition of Power Tower Function