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Thread: 1.3333.. does NOT equal 4/3!

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    Shlup's Retired Pimp Recognized Member Raistlin's Avatar
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    The best part of the ignorant masses who scream that .99999-... does not equal 1 are the ones who took one course in Calculus and try to prove it using limits, despite that the proof that .9999... = 1 is limits in Calculus. They say "limits get closer and closer to a number...." No, "x" in limit equations gets closer asnd closer to a number, but the limit is one number.

    I don't remember the limit proof of this problem (I saw Dr Unne post it once - bug him), but a simpler example is lim x->infinity (1/x). This reads, for people who don't know calculus, as "the limit, as x approaches infinity, of 1/x." The answer is 0. As x gets bigger and bigger, closer and closer to infinity, the limit actually becomes 0. Not "closer and closer, but never reaching" 0 as the pseudo-intellectuals in this case want you to believe of .9999... and 1.

    The easiest way to demonstrate the fact that .999... = 1 is the fact that there is no number between the two. Not only does any two distinct, real numbers have a number between them, but any two distinct, real numbers have an <i>infinite</i> amount of numbers between them. You can't even name one between .999... and 1, though, because there isn't any. The two numbers are equal.

    Didn't Blizzard make an announcement on their main page about .999... = 1 a while ago? I seem to remember reading that.
    Last edited by Raistlin; 05-23-2007 at 03:46 PM.

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