Shooting the EOS 7D in aperture priority with the 70-200/2.8L wide open at ISO 400. Even so, in the shade I was having trouble occasionally with the shutter speed dropping low enough to show a bit of blur at longer focal lengths.
For instance, Dinky here looks good on a smart phone or small monitor, but 100% crops show the effect of camera motion. (I think this was 1/125th at 200mm.)