Ask Your Question

Plotting an Infinite Power Tower

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

anonymous user


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.

edit retag flag offensive close merge delete

1 Answer

Sort by ยป oldest newest most voted

answered 2012-09-03 17:37:45 +0200

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.

edit flag offensive delete link more

Your Answer

Please start posting anonymously - your entry will be published after you log in or create a new account.

Add Answer

Question Tools


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

Seen: 285 times

Last updated: Sep 03 '12