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Plotting an Infinite Power Tower

asked 2012-09-02 20:02:32 -0500

anonymous user

Anonymous

How would one go about expressing/plotting the infinite "power tower" function f(x)=x^(x^(x^...))? I am not finding much information with search/google. Thank you.

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answered 2012-09-03 10:37:45 -0500

benjaminfjones gravatar image

The infinite power tower function can be represented in terms of the "Lambert W" special function which is implemented in Sage as lambert_w. See equation (13) of this Mathworld article.

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Asked: 2012-09-02 20:02:32 -0500

Seen: 133 times

Last updated: Sep 03 '12