First time here? Check out the FAQ!

Ask Your Question
1

Plotting an Infinite Power Tower

asked 12 years ago

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.

Preview: (hide)

1 Answer

Sort by » oldest newest most voted
2

answered 12 years ago

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.

Preview: (hide)
link

Your Answer

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

Add Answer

Question Tools

Stats

Asked: 12 years ago

Seen: 373 times

Last updated: Sep 03 '12