RATIONNAL EULER CONSTANT APPROXIMATION


File(s)    : approx_e.9xf or approx_e.89f
Type       : Maths, TI-BASIC
Author     : Rmi Denis-Courmont
e-mail     : rdenis@multimania.com
Size       : 0,3 Kbyte
Plateform  : TI-92(+) and TI-89 - any language
Description: This function is able to get quite quickly a rationnal
             approximation (ie. a fraction) of 'e', the constant
             of euler or base of the natural exponential function.
Date       : last-updated on September 23th 2001.
Version    : 1.0


Installing
-----------
Send either approx_e.89f to your TI-89, or approx_e.9xf to your
TI-92(+). By default, these functions are stored in the "maths" folder
of your calculator.


Usage
------
So as to get an approximate value of e, type, for example:
 approx_e(100)
Within 5 seconds, you should get the result (precision: 2.10^-13,
according to my calculator). The biggest the integer is, the most
important the precision is, but the longest the computating duration
is. The precision is of about 1/(n!), where n is the parameter
specified to the function approx_e().


Liability
----------
These files are provided "as is", without any warranty of any kind.
Neither Texas Instruments, nor the author of these files may be
responsible for any direct or indirect, expectable or unexpectable,
expected or unexpected consequence of their use and/or alteration.


Redistributing
---------------
Renting, lending, selling and buying any of the files provided with
this text, any part of them, or any data which needed their
alteration, on any kind of support are strictly forbidden without
explicit authorization from:
Rmi Denis-Courmont <rdenis@multimania.com>.

You may copy and redistribute these files for free, as you wish.
However, I would like to be told by e-mail if you want to publish
these files on a website. Thanks in advance.
Moreover, I would consequently be able to send you any update.

This text and the files which are provided with it are the exclusive
intellectual property of Rmi Denis-Courmont.


Known bugs
-----------
* These programs do not work properly with non-integer or approximate
  values.

Please tell me if you find any other bug.


Rmi Denis-Courmont
rdenis@multimania.com
http://rdenis.multimania.com/

PS: apologies for my poor english.
