>>101
http://en.wikipedia.org/wiki/Real_number
http://en.wikipedia.org/wiki/Equivalence_class
Cauchy sequences are special in some way, though I fail to appreciate its importance. It suffices to say that there is a theorem that says that all convergent sequences of real and rational numbers are cauchy (and vice versa).
I make reference to equivalence classes because that would eliminate all the hassle about ".999..." being a (geometric) series, number, blah blah blah. By establishing all these things as elements of the same equivalence class, there is no ambiguity that all are equivalent to 1.
Thus .999...95, 1.000...1, .999... are all convergent sequences with a limit of 1, and hence are all equal to one.
Seeing differences is normal, but hating is much less so. This is especially true for a /sci/ board. I'm glad you're neutral.
I can barely read/write myself. Sorry for assuming that you could. You admitted that your English wasn't great, so I assumed that you were better at Chinese.
What kind of lag are you referring to? Internet lag?