# 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.

Plotting an Infinite Power Tower

asked **
2012-09-02 20:02:32 -0600
**

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.

add a comment

2

`lambert_w`

. See equation (13) of this Mathworld article.

Asked: **
2012-09-02 20:02:32 -0600
**

Seen: **149 times**

Last updated: **Sep 03 '12**

How to define WordMorphism on an infinite alphabet ?

How to plot a R graph directly in Sage

Visualize vector field with singularities

Graph edge label: formatting possibilities

AttributeError: must give both plot endpoints

How do I plot a real function whose computation involves complex intermediate results?

Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.