A charge $-q$ is fixed at each of the points $x= 2 m,x=4m,x=6m....$ up to infinity and charge $+q$ is fixed at each of the points $x=1 m ,x= 3m , x=5m....$ up to infinity. The potential at the origin will be :

Question

$(A)\;zero\\ (B)\;\frac{q}{4\pi \in _0 ln (2)} \\ (C)\; \frac{q ln(2)}{4\pi \in _0} \\ (D)\;Infinite$