Convergence of a Hyperpower Sequence
The limit of the hyperpower sequence , or equivalently,[more]
satisfies the equation =. The solutions are 2 and 4. In the graphic we show that the limit is 2.[less]
F. Azarpanah, "Proof without Words: Convergence of the Hyperpower Sequence," Mathematics Magazine, 77(5), 2004 p. 393.