0.9999999999.... does not equal one. The Convergence Theorum means the sequence converges to 1, it does not equal one. Using the logic in the pic, you could prove 1=2. a^2 = a * b a^2 + a^2 = a * b + a^2 2a^2 = a ^2 + a * b 2a^2 -2ab = a^2 + ab -2ab 2(a^2 -ab) = 1 (a ^2 -ab) 2 = 1 All of you are -blam!- retards.