0.9999999...=1.0

It's a fact. Deal with it, bitches.

0.999... + 0....1 = 1

If 0.999... = 1 , then

 1 + 0....1 = 1
     0....1 = 0 , which is false

Proof by contradiction, 0.999... does not equal 1

Now where can I pick up my Fields Medal?