If you have a transfer switch or any device that senses low voltage you most like will have problems with a 3K generator while running an AC with some other loads. The generator voltage will dip some times that will trip the device to shutdown power. The generator will start hunting because it will see a large load and no load at approx. 1hz interval and you will hear banging noise from the device which is not a good thing to hear. That will shorten the life of the device. If you can guarantee of constant load on the generator that it can handle there will be no problem. However, AC's with motors cycle on/off which creates a large load spike as well as other devices-- so be ware.