Plotting an Infinite Power Tower
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.
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.
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.
Asked: 2012-09-02 20:02:32 -0600
Seen: 173 times
Last updated: Sep 03 '12