Infinite tetration and superroot of infinitesimal

[bo198214]

dx^(1/dx)= 0 where dx is infinitesimal as hyperreal if there is only one level of hyperreals.

dx^(1/dx) is not 0. It is another infinitesimal.
In the same way (dx)^2 is also another infinitesimal
and \( \lim_{x\to 0} x^2=0 \).