>>34
THAT MAKES NO SENSE YOU RETARD
God, I fucking hate it when people argue maths when they don't know shit.
This question has already been answered, not only in a million other threads, but in the thread as well if you morons would just read.
THERE ARE NO INFINITESIMALS IN THE REALS, that fact is very easy to prove, for every real number, r ,there is a natural number n such that 1/n < r.
If there wasn't then the naturals numbers would be bounded above, contradicting the axiom of archimedes.
However there doesn't exists any infinitesimals in the rationals trivially, and every real number is larger than a rational therefore there are no infinitesimals in the reals.
Oh and by the way 0.999......0 , if that even meant anything at all, is not an infinitesimal.
An infinitesimal would be 0.999..... - 0.999....0.
God, this thread is full of fail.