pezus said:
walsufnir said:
pezus said:
MDMAlliance said:
Talal said:
Not to sound arrogant, but it's a pretty established fact that 0.999.. equals 1.
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I think we're using the word "fact" wrong if it is contested. In pretty much any math equation you will ever come by, it will equal 1. However, it is not a fact that .999... itself is actually 1. Every time I see someone trying to prove it, it keeps showing me that they are either using circular logic, or are approximating, then claiming they are the same thing.
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It is a fact and can be easily proven in many ways. One of the ways was in the OP last I checked.
x = 0.999...
10x = 9.999...
10x-x = 9.999...-0.999...
9x = 9
x = 1
And therefore: 0.999... = 1
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I call this invalid as you can't really subtract infinite nu,bers from another. If you subtract it has to be a finite number.
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But that's the thing, I am not subtracting infinite numbers from another.
Here's another proof from Wikipedia:
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This one is of course legit and the exact example I gave in my second post.
