US Airways 1549? Yukla 27 set the precedent, flying through flock of ducks (or were they geese?) and knocking out both engines is not quite an improbable situation.
Well, there just might be a time when those computer limitations NEED to be exceeded.
Into what?!? Stall? Overspeed? Spiral dive? It would be overstatement if I were to say that it's the matter of good airmanship to avoid situations where only limitation busting can save the day - it's the matter of simple self-preservation.