divergent series

1. zeta function regularization:

1+1+1+1+....... = -1/2

1+2+3+4+........= -1/12 ( not Abel summable)

1-2+3-4+........= 1/4 ( Abel summable )

2. geometric series:

1+2+4+8+...... = -1 ( Abel summable; not Borel summable )

1-2+4-8+.......= 1/3 ( Borel summable )

1-1+1-1+.......= 1/2 ( Grandi's series; Borel summable )

You think I am messing math up?