Would an astronaut falling into a black hole see the outside universe red-shifted or blue-shifted?

Solution 28E We know that beyond the event horizon of a black hole, we don’t know anything. So, this event horizon is a boundary between the outside universe and the black hole, once you crossed the horizon after falling into a black hole, you will be completely cut off from the outside universe. But in the question we are talking about the scenario where the astronaut is falling into a black hole. So far she has not crossed the horizon. So, while falling into the hole, she is accelerating towards the black hole. At...