Step 1: Understanding resonance in LCR circuits.
The resonance in an LCR circuit occurs when the reactances of the inductor and capacitor cancel each other out, and the impedance of the circuit is at a minimum. This results in the sharpest resonance when the resistance \( R \) is small.
Step 2: Conclusion.
Thus, the resonance is sharpest when \( R \) is small.