Many years ago, thirty-five or so, my father somehow or other obtained a little banana tree, which he planted in a wooden tub maybe two feet in diameter. This was in north Alabama, where the winter temperatures drop below freezing quite often, so he couldn't leave it outside or plant it permanently. So every fall he would drag the tub, which was quite heavy, into the basement, and in the spring drag it out again. It never grew more than a few feet tall, but it survived. 

About twenty years ago my wife brought a shoot from that plant down to our home 350 miles further south, where freezing temperatures are much less frequent. She planted it (maybe I helped, but I hesitate to claim that.) It has survived and to some degree thrived; it's now a clump of half a dozen or so trunks which by the end of the summer are ten feet tall. Most winters have at least one hard freeze that kills them back to the ground, but they always come back. Last year we really didn't have a serious freeze. Now for the first time it's bearing real fruit. We've had a few little ones before but they never got this big.