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I have spent a while reading some of these posts and I thought Id put in my 2 cents
I feel as though I need to remind some people that infinity is not a number (its a concept). Therefore, properties of real numbers do not apply to it. So you cant put infinity into a mathematical equations such as infinity=1*x and then add one to both sides. (You can only do that with numbers; and infinity is not a number.)
Also: as hard at it is to believe, I am convinced that .999999
does =1. (I dont particularly like it, but I know that it is true.)
I havent seen this posted yet, so I thought Id add this argument to the mix
1/9 = .1111
2/9 = .2222
3/9 = .3333
4/9 = .4444
5/9 = .5555
6/9 = .6666
7/9 = .7777
8/9 = .8888
9/9 = .9999
But 9/9 also = 1. So, (using substitution) 9/9 = .9999 becomes 1 = .9999
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