The more power you have the better it is to give the front wheels the job of steering and let the back wheels do the job of getting the power to the ground. When the same set of wheels has to do both jobs it puts a double strain on their ability to do it well. So there isn't any specific horsepower limit for front-wheel-drive cars. Its just that the more powerful they are the more trouble they have when they are expected to do both jobs at the same time, corner and get power to the ground.
I can't remember which touring car racing class it was, but to get equal lap times rear wheel drive cars had to be over a higher minimum weight than front-wheel drive cars. That is, if you've got the same bhp and the same weight a rear-wheel-drive car will get around corners and therefore lap quicker that a front-wheel-drive car. Because the front-wheel-drive car's front wheels can't generate as much cornering power because they're also trying to put the power to the ground. Also the front-wheel drive car will be dragged off at the start because of weight transfer to the back wheels during acceration.
As suspension, and especially tyre technology, have gotten better more and more powerful front-wheel drive cars have appeared. There's quite a few now with over 200 bhp. But the practicable limit is still not that much more than that.