perplexus.info :: Just Math : Is It Infinitely Increasing?

Home > Just Math

Is It Infinitely Increasing? (Posted on 2004-09-30)

How much is 1√(1+ 2√(1+ 3√(1+ 4√(1+ 5√(...)))))? Does it tend to infinity?

Note: the initial 1 is just for completeness!

See The Solution Submitted by Old Original Oskar!

Rating: 3.0000 (8 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re(3): interesting

| Comment 7 of 13 |

(In reply to re(2): interesting by e.g.)

I don't see it...can you post your inductive proof? In particular, I don't see how to get from n=0 to n=1, though the other steps are pretty easy.

Posted by David Shin on 2004-10-01 10:35:34

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info