A single-loop circuit consists of an ideal battery of potential difference \(V_0\), a resistor of resistance \(R\), an ideal inductor of inductance \(L\), and an open switch \(S\), all connected in series. The switch \(S\) has been open for a long time so that there is initially no current in the circuit. At time \(t = 0\), switch \(S\) is closed. Which of the following pairs correctly gives the current in the circuit immediately after switch \(S\) is closed (\(t = 0\)) and a long time after switch \(S\) is closed (\(t \to \infty\))?