Answer
$I = 2.76~A$
Work Step by Step
We can find the current amplitude:
$I = \frac{\mathscr{E}}{\sqrt{R^2+~(X_L-X_C)^2}}$
$I = \frac{\mathscr{E}}{\sqrt{R^2+~(\omega_d~L-1/\omega_d~C)^2}}$
$I = \frac{\mathscr{E}}{\sqrt{R^2+~(2\pi~f~L-1/2\pi~f~C)^2}}$
$I = \frac{120~V}{\sqrt{(40.0~\Omega)^2+[(2\pi)~(3000~Hz)~(850\times 10^{-6}~H)-1/(2\pi)~(3000~Hz)~(1.60\times 10^{-6}~F)]^2}}$
$I = 2.76~A$