The current graph for resonance in L C circuit is

In LC circuit, if $X_{\mathrm{L}}=X_{C}$ then $\omega=\frac{1}{\sqrt{\mathrm{LC}}}$\mathrm{I}_{0} \infty, \text{ so } \mathrm{Z}=\frac{\mathrm{E}_{0}}{\mathrm{I}_{0}}=0 As $\frac{1}{\sqrt{\mathrm{LC}}}$ is the natural frequency of LC circuit, therefore for an LC circuit if the frequency of applied AC becomes equal to the natural frequency of an $\mathrm{AC}$ circuit then the amplitude of current becomes infinite due to zero impedance.