1 = 0

Proof:
1 = 1 + (-1 + 1) + (-1 + 1) + (-1 + 1) + ....
  = (1 + -1) + (1 + -1) + (1 + -1) + (1 + -1) + ......
  = 0

kekekeke

>>17
This involves infinity, so it's not 'basic' math. Additionally, I don't fail.

1 + (-1 + 1) + (-1 + 1) + (-1 + 1) + ...
   means
1 + sum 0..inf (-1 + 1) == 1 + sum 0..inf (0) == 1
   and not
sum n=0..inf (-1^n)