The theoretical limit used to be 60,000 years (based on the sensitivity of the equipment then available); the practical limit is 50,000, used to be less, and 45,000 is not a bit of a stretch.
You know that cold hard facts just kill a thread.
Then what do we make of carbon dating of dinosaur bones within 40,000 years? Shouldn't we consider dino bones at infinity years old for purposes of C14 dating? Perhaps use the measurements on dino bones to define the limit?