Originally Posted by delmarco
at line c; we subtract X from both sides...here is where the flaw comes in...
for 10x - x (we must assume x is not equal to 1 yet so the solution is NOT 9x but something like 9.1111x)
and then on the otherside we have 9.999 - x or 9.999 - 0.999 which is 9
uh, your not assuming x = 1 yet. the 10x comes from part b.
10 * .999~ = 9.999~ (this is what we conclude is part be.)
so if 10x = 9.999~
10x - x = 9
9.999~ - .999~ = 9
I am not arguing that .999~ = 1. I, in fact, believe that that's bogus and this whole thing is just a small paradox that doesn't at all effect my life so I couldn't care less.
the above proof was released by Blizzard Entertainment® (PC game developer and publisher of Warcraft, etc.) and if you want to argue with it you really should take it up with Mike Morhaime. good luck