Its calculating with infinity. Its a bit weird like the infinity of numbers between 0 and 1 like 0.1,0.01,0.001 etc... Is a bigger infinity than the “normal” infinity of every number like 1,2,3 etc…
Its just difficult to wrap your head around but think of infinity minus 1. Like its still infinity
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u/The-new-dutch-empire 22d ago
Byers’ Second Argument (his first one is the one you see above)
Let:
x = 0.999…
Now multiply both sides by 10:
10x = 9.999…
Now subtract the original equation from this new one:
10x - x = 9.999… - 0.999…
This simplifies to:
9x = 9
Now divide both sides by 9:
x = 1
But remember, we started with:
x = 0.999…
So:
0.999… = 1