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Convergence of a Hyperpower Sequence


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

Power Tower (Wolfram MathWorld)

"Convergence of a Hyperpower Sequence" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ConvergenceOfAHyperpowerSequence/

Contributed by: Soledad Mª Sáez Martínez and Félix Martínez de la Rosa

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