On The Convergence of Series With Infinite Exponentials and Iterated Factorials

From: Ioannis (morpheus_at_olympus.mons)
Date: 07/16/04 

Date: 16 Jul 2004 08:38:15 -0400

I have collected the results of yet two more .html pages from my site
into a more austere article which deals with the convergence of series
which contain Iterated Factorials and Iterated Exponentials.

The article provides for an entertaining way to compare how fast
Iterated Factorials grow relative to Iterated Exponentials.

A couple of difficult issues which were left unsolved in the original
pages are settled here, namely what happens with the series
sum(x^^n/n!!!...!(k-!'s),n=1..oo), when x is in (e^(1/e),+oo).

The article is here:
http://users.forthnet.gr/ath/jgal/math/SeriesPaper.html

in my Math section:
http://users.forthnet.gr/ath/jgal/math/

Enjoy the read,

PS: The link above is a redirection link to a PDF file, so don't
right-click on it. 

-- 
I. N. Galidakis
http://users.forthnet.gr/ath/jgal/
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Eventually, _everything_ is understandable