Wolfram Demonstrations Project

The limit of the hyperpower sequence

, or equivalently,

satisfies the equation

. The solutions are 2 and 4. In the graphic we show that the limit is 2.

F. Azarpanah, "Proof without Words: Convergence of the Hyperpower Sequence," Mathematics Magazine, 77(5), 2004 p. 393.

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Convergence of a Hyperpower Sequence