>>13307966I'm also not an "experienced mathematician", but I am a math student.
0.999... is indeed 1 (the formal explanation is that 0.999... represents the limit of the sequence x_n = 1 - (1/10)^n, and the sequence approaches 1).
But we don't usually say that 0.000...1 = 0.
Why? Because 0.000...1 doesn't represent anything, really. It doesn't make sense for a decimal to have "infinitely" repeating 0s... then a 1 AFTER the INFINITE 0s; that doesn't mean anything. By definition, there can't be and end to something infinite.
That put, however, if you attribute a meaning to this non-standard notation, such as calling 0.000...1 the limit of the sequence y_n = (1/10)^n, then you could technically say that 0.000...1 = 0. But it's not something that we usually do, and this notation is misleading as there's no such thing as an end to an infinite decimal.
