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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.
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"
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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