Behavior at Extreme Frequencies

At very low frequencies ($$\omega \to 0$$):

• Inductor behaves as a short circuit ($$X_L \to 0$$)
• Capacitor behaves as an open circuit ($$X_C \to \infty$$)

At very high frequencies ($$\omega \to \infty$$):

• Inductor behaves as an open circuit ($$X_L \to \infty$$)
• Capacitor behaves as a short circuit ($$X_C \to 0$$)