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Infinite tetration and superroot of infinitesimal
#1
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 = ?
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Messages In This Thread
Infinite tetration and superroot of infinitesimal - by Ivars - 12/16/2007, 06:02 PM

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