Answer
$I_{max} = 0.050~A$
Work Step by Step
We can find the maximum current:
$\frac{1}{2}LI^2 = \frac{1}{2}C(\Delta V)^2$
$I = (\Delta V)~\sqrt{\frac{C}{L}}$
$I = (5.0~V)~\sqrt{\frac{0.10\times 10^{-6}~F}{1.0\times 10^{-3}~H}}$
$I = 0.050~A$