1.
A charge +q+q is placed at each of the points x=x0x = x_0, x=3x0x = 3x_0, x=5x0x = 5x_0, \ldots on the xx-axis, and a charge q-q is placed at each of the points x=2x0x = 2x_0, x=4x0x = 4x_0, x=6x0x = 6x_0, \ldots to infinity. Here x0x_0 is a positive constant. Take the electric potential at a point due to a charge qq at distance rr from it to be q/(4πε0r)q/(4\pi\varepsilon_0 r). Then the potential at the origin due to the above system of charges is