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TopicI can think of three ways to prove .999.. = 1 to the layman
ChromaticAngel
04/16/17 12:45:40 AM
#14:


Hey posted...
What I never got is that if this is true, then what are asymptotes?
The equation approaches a certain number, but never reaches it, just like this problem.

0.999__ doesn't approach anything. any number that is a fixed value is a perfectly horizontal line. basically, 0.999__ is the asymptote and a hyperbolic equation would approach it, not the other way around.

It's also equal to 1.

Think about it this way.

How many numbers are between 0 and 1? well there are a lot, there is 0.1, 0.2, 0.3, 0.11, 0.12, 0.111, etc. infinity numbers.

what about how many numbers are there between 0.9 and 1? well there is 0.91, 0.911, etc. another infinity numbers.

But how many numbers are there between 1 and 1...? well, there aren't any. they are the same number.

So now ask yourself this, how many numbers are there between 0.999__ and 1? Because if you can't think of any, how is it different from 1? How can two different numbers not have a different amount of numbers between itself to the same constant?
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