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

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(2): interesting

| Comment 6 of 13 |

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

The formula is correct --and it's not hard proving that by induction-- so the answer to the problem is 3.

Posted by e.g. on 2004-10-01 08:06:25

Please log in:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (10)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info