Quote:
Originally Posted by EasternHeat
I will reply with this:
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Except 0.999 =\= 1 in the first place...lol.
However, 0.999.... (going on forever)
does infact equal 1! And it can be proven rather easily (though some people just can't accept the fact, haha)
The idea is basically:
1 - 0.9 = 0.1
1 - 0.99 = 0.01
1 - 0.999 = 0.001
...
1 - 0.9999....999 = 0.000...001
...
1 - 0.999... (going on forever) = 0. 000... (going on forever)
So 1 = 0.999... (going on forever).
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And it does seem like witchcraft or bad reasoning, but it shows "the distance between 1 and 0.999...9 shrinks to zero as you add more 9's."
It's one of the weird things that arise when you look at infinite sequences.