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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 9 of 13 |

(In reply to re: interesting by Ira Jewell)

you cannot divide the RHS by n when n is zero so the inductive step doesn't work for n=0. You'll see why this division is necessary for the step if you actually do it.

Posted by Bon on 2004-10-06 03:42:48

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