I try to limit my fruit to no more than 3 servings a day because they tend to be higher in calories, though I didn't worry about it as much in the beginning. It tends to be a variety of fruit too, not sure I've had more than one banana in a day. Keep an eye on the scale and if it's not going as well as you like, it might be time to rethink all the bananas. Everyone is different, and even those different bodies can have different responses when they have 100 lbs to lose vs 25 lbs to lose.
I don't know that you need to count fruit, some people do especially if they eat over a certain amount, some people don't. IMO the important part is not letting 0 point foods turn into an excuse to be oblivious to how much you are eating. Not that this can happen with bananas so much, but those other things - grapes, carrot sticks, berries, whatever. Easy to just grab them out of the container and mindlessly graze. So long as you are portion-conscious and tracking what you eat, it tends to work out. Worst case you have a not-great week and look back, see you ate many servings of fruit, and decide to rethink it.
If you are going crazy on fruit because you are too hungry too much and your points won't stretch out, it might be time to take a look at what else you are eating and what you could maybe tweak to be more satisfying (think higher protein, higher fiber). If you think that might be a problem and you aren't sure what to change, it wouldn't hurt to post a few days of tracking and get some feedback.
