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.