Come at me *******s
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Thread: 0.999... = 1
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01-30-2013, 07:56 AM #1
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01-30-2013, 07:56 AM #2
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01-30-2013, 07:58 AM #3
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01-30-2013, 08:00 AM #9
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01-30-2013, 08:05 AM #14
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01-30-2013, 08:06 AM #15
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01-30-2013, 08:07 AM #16
I can't believe people actually argue about this. You stupid ****s actually know math right?
The expression "0.999..." is shorthand for "the limit of the infinite sequence {0.9, 0.99, 0.999. 0.9999,...}". The nth term in the sequence is \sum_{i=1}^n(9*(10^(-i))). The distance between 1 and the nth term in the sequence is just 10^(-n). So for any epsilon>0, you can find an N such that for all n>N, the nth term of the sequence is within epsilon of 1. Therefore, 0.999... is 1. Because that is the definition of the limit of a sequence. This is math. You don't get to argue about trivial ****. 0.999... is equal to 1 because 0.999... is defined to be the limit of a sequence and it is easy to show that the limit of that sequence (by the definition of a limit) is 1.
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01-30-2013, 08:08 AM #17
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01-30-2013, 08:11 AM #21
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01-30-2013, 08:14 AM #24
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01-30-2013, 08:14 AM #25
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01-30-2013, 08:16 AM #26
- Join Date: Aug 2011
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You're just using the workings of a method as proof or evidence that 0.999... = 1.
I always think back to asymptotes. There will be lines in a graph which will NEVER hit a certain number, based on the equation. It will always be 1.9999 or 5.9999 but NEVER 2 or 6.
The fact that these infinite sequences will never develop into whole unit numbers dictates their ultimate fate...of staying a decimal.
Fuk yea. Na but i actually don't know. Both arguments make sense?
EDIT: It's all good and dandy until the universe goes full potato and throws an '8' in there or something. Then what??
THEN WHAT!!??Engineering Crew
Homo for iron (no homo)
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01-30-2013, 08:17 AM #27
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01-30-2013, 08:20 AM #28
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01-30-2013, 08:20 AM #29
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01-30-2013, 08:21 AM #30
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