Plotting an Infinite Power Tower

asked 2012-09-03 03:02:32 +0200

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 17:37:45 +0200

benjaminfjones
2735 ●7 ●43 ●76 http://bfj7.com/

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: 2012-09-03 03:02:32 +0200

Seen: 180 times

Last updated: Sep 03 '12

Plotting an Infinite Power Tower edit

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