QED. You guys fail to see that 0.999...∞ still misses the infinitely tiny fraction ...∞ to make it 1.
More evidence:
I have 0.999...∞, let me take off an infinitely small fraction ...∞
Now I have 0.999...∞ - ...∞ = 0.999...∞
As you can see, I have taken a number with an infinitely small fraction less than 1, took off an infinitely small fraction and still have the same number with an infinitely small fraction smaller than 1! Amazing, isn't it!
Like Hotel Infinity should make clear to you, you can't use infinity in regular arithmetic. 0.999...∞ repeating is a CONCEPT and the only thing you can derive from it is that it is smaller than 1. An infinitely small fraction smaller than 1, which is why we can only use it as a concept, and not in mathematical formulas.