Chapter 3.6, Problem 63ES

The accompanying schematic diagram represents an electrical circuit consisting of an electromotive force that produces a voltage $V$ , a resistor with resistance $R$ , and an inductor with inductance $L$ . It is shown in electrical circuit theory that if the voltage is first applied at time $t=0$ , then the current $I$ flowing through the circuit at time $t$ is given by

$I=\frac{V}{R}\left(1-e^{-Rt/L}\right)$

What is the effect on the current at a fixed time $t$ if the resistance approaches $0$ (i.e., $R\to 0^{+}$ )?