The recommended operating voltage range for the LME49725 is ±2.5V to ±15V, with a maximum differential voltage of 30V.
To ensure stability in a unity-gain configuration, add a 10nF to 22nF capacitor between the output and the inverting input pins. This will help to reduce ringing and oscillations.
The LME49725 can drive capacitive loads up to 1nF without oscillating or ringing. However, it's recommended to add a series resistor (Rs) to the output to ensure stability. The value of Rs depends on the capacitive load and the desired frequency response.
To reduce noise and hum, use a well-regulated power supply, add decoupling capacitors (0.1uF to 1uF) close to the op-amp's power pins, and consider using a noise-reducing circuit topology such as a differential amplifier or an instrumentation amplifier.
While the LME49725 can be used as a comparator, it's not recommended due to its relatively slow slew rate (0.5V/us) and limited output current (±20mA). A dedicated comparator IC would be a better choice for most applications.