a couple of things
Firstly:
i can prove that 1=0
ok, assume its an identity (cant do that on a keyboard but assume the = is an identity sign)
if you say 1=0
if you take 1 from each side
0=-1
multiply by 2
0=-2
add one to both sides
1=-1
Square
1=1
voila
or do it backwards to get it if you like.
also, i can prove mathamatically the first part
1/9 = 0.1111... (recurring)
10/9 = 1.1111... (recurring)
10/9 - 1/9 = 9/9 = 0.9999999999, or 1 as 9/9 is 1 but 9 x 0.11111111111 = 0.9 revcurring. therefore 0.9999.... doesn't exist
its marvalous that e^(pi i )=-1