12/16/2007, 06:02 PM

In non-standard analysis,hyperreal numbers are introduced, such that around 0, hyperreal is smaller than any real. ( Let us not involve infinite hyperreals now, if not needed).

This is called infinitesimal which is smaller than any real and is not 0.

Non-standard analysis is quite legitimite, albeit different way of doing and understanding calculus (at least). So there migth be potential for insights if non-standard is used instead of limit based math in tetration.

Question is:

If we can not find h(0) as its value oscillates, may be we can find:

h( infinitesimal) =?

and Superroot of infinitesimal = ?

This is called infinitesimal which is smaller than any real and is not 0.

Non-standard analysis is quite legitimite, albeit different way of doing and understanding calculus (at least). So there migth be potential for insights if non-standard is used instead of limit based math in tetration.

Question is:

If we can not find h(0) as its value oscillates, may be we can find:

h( infinitesimal) =?

and Superroot of infinitesimal = ?