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#13
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Re: .999~ = 1
alright i thought of a different way to prove that .999...=1
first we have to prove that if (X+Y)/2=X or (X+Y)/2=Y then X=Y this is simple (X+Y)/2=X X+Y=2X 0=X-Y Y=X alright now we move on 1 (.9999...+1)/2 ?= .999... 2 (1.999...)/2= 3 .999...=.999... now you might be thinking: "whoa...how do you get from 2 to three...that looks crazy" well 1.9/2=.95 1.99/2=.995 1.999/2=.9995 so 1.999.../2=.999...5 however i have given all you non believers false hope with that last 5 1.999.../2=.999... because the nines will go on FOREVER, they wont stop, so that five does not exist the five never happens because the nines never stopped...thus .999...=1 |
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