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mparsons

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  1. .999... indicates an infinite number of terms in the series and yes the as the number of terms approaches infinity, .999... converges to 1.0, but this is not the same thing as stating .999... = 1.0 This does not occur over time. There is no "approaching" here. If we were talking of a series such as .9, .99, .999, .99999999999999999999, .99999999999999999999999999999999999999999999, you would be correct, but .999... represents those 9s extending into infinity, in the present, right now, forever. Thus equaling 1, by your own admission.
  2. 3/2 is 1. Not 1.5, but 1. This is what I was actually taught by one of my maths teachers, who is a Dr of Particle Physics, you even get taught his theories if you do a doctorate in Physics, but yeah, 3/2 is 1, because you always give the answer to the same amount of decimal places. hmm. Damn you really missed out on that lecture. For counted, definite quantities, you have an assumed "infinite" significant figures to work with, to be limited by other quantities.
  3. nice try but no, because the series expansion only approaches 1, but never gets there because it would require an infinite number of terms. A) 1/3 = 0.333... B) 3 * 0.333... = 0.999... C) 3 * (1/3) = 1 Ergo, 0.999... = 1 You realize that the repeating notation implies repeating into infinity, right?
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