>>8009491

Whenever people deny 0.99999... being equal to 1, they argue that the left side must be smaller than the right side. The only way for it to be true is to either

a) interpret "0.99999..." as not the limit, but a partial sum for an arbitrarily large n, or

b) allow the use of infinitesimals, and say the the left side is infinitesimally smaller than the right side.

(If we do consider infinitesimals, a) and b) as given above are actually equivalent anyway).

This is the only explanation to the fact that the expression is controversial in the first place, and it is the possible ambiguity of "0.99999..." that can attribute at all to such a controversy. If the notation "0.99999..." is to be considered representing a quantity smaller than 1, then it's either infinitesimally so (if we consider infinitesimals in the first place), and if not, then it MUST be just a partial sum. Otherwise it's just equal to 1, and there's no controversy in the first place.

If you believe there might be yet another reason for the "0.99999... = 1" expression raising controversy, then please give an example.

>you sound like a moron

Thank you so much for helping keep the argument civilized.