0.9999.... = 1.0

[dsgrue3]

Jay520 said:

dsgrue3 said:

You went from 10x = 9.9999... and by subtracting x somehow arrived on 9x = 9; this is wrong. You should have arrived on 9.000.....1x = 9.

Series will converge to 1, but never arrive at it. It's like saying that you can divide 1 in half and eventually get to 0. You can't. You can approach 0, but never reach it. 

As to 1+1 =3 for sufficiently large values of 1, it's just a joke. 1.49 +1.49 = 2.98.

No. X = 0.999.... So when, I subtract x, I can subtract either X or 0.999.... It wouldn't make a difference.

Btw, 9.000....1x does not make sense. You can't just have a 1 there after an infinite amount of zeros.

You must have a 1 there. Otherwise you're using circular logic.

I'm not disputing 1 = 0.999999 though, Pezus example made it very clear.