An infinite array of point charges is fixed along the positive \(x\)-axis. Positive point charges \(+q\) are located at \(x = a, 3a, 5a, \dots\) and negative point charges \(-q\) are located at \(x = 2a, 4a, 6a, \dots\), where \(a > 0\). Given that \(1 - \dfrac{1}{2} + \dfrac{1}{3} - \dfrac{1}{4} + \dots = \ln 2\), what is the electric potential at the origin \(x = 0\) due to this infinite collection of charges?