Infinite tetration and superroot of infinitesimal

[tommy1729]

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

An infinitesimal is zero.

no no no. 

on the real line :


[f(x + h) - f(x)]/h = f ' (x)

division by 0 is not possible.

2h =/= h 

2 * 0 = 0.

1/h ( positive infinitesimal ) = +oo ( or going to it )

1/0 = undefined.

So infinitesimal is anything but 0.

limit to 0 in some sense at best.

or neighbourhood of 0 in another sense maybe.

regards

tommy1729