I'll present a proof that \(0 = 1\). Of-course there is an error in the proof. Can you find it?
Let us start with a vector field .
Let us find the Divergence of this field.
Now let us calculate the flux of this field.
Green’s Theorem state that
Applying it we see L.H.S = 0 since and R.H.S = .
This implies .
Dividing by we get