Convergence of a Hyperpower Sequence

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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.


Contributed by: Soledad Mª Sáez Martínez and Félix Martínez de la Rosa (March 2011)
Open content licensed under CC BY-NC-SA



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

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