In the circuit shown, an ideal battery of electromotive force \(\varepsilon\) is connected to an open switch \(S\), three resistors with resistances \(R_1 = R\), \(R_2 = 3R\), and \(R_3 = 6R\), and an initially uncharged capacitor of capacitance \(C\). Switch \(S\) is closed at time \(t = 0\). What is the ratio of the current through resistor \(R_1\) immediately after switch \(S\) is closed to the current through resistor \(R_1\) long after switch \(S\) is closed, \(\dfrac{I_1(0)}{I_1(\infty)}\)?