Even 45 FPS is very smooth. And besides, even if you're getting 125 FPS, 1. you will not be able to see it, and 2. Your monitor will limit you to 60FPS anyway.
Remember that a TV runs at 25-30 FPS, and they seem pretty smooth to me.
TV and movies have blur effects, which helps your eyes adjust. 25fps in game with unbuffered sharp edges will strain your eyes.