For an observer hovering near the hole, light is blueshifted. But it would be redshifted by the same amount as it climbs back out of the hole's gravitational field. So stars observed past a (non-rotating) black hole are neither red nor blue shifted if you are far from the hole. If you are near the hole they may be blueshifted if you are hovering or redshifted if you are moving fast enough.Well your saying that light coming towards a black hole is blue shifted. If this is the case then some of it would escape and appear at the edge of a black hole in an actual observation?
But as already noted, nothing is exceeding c.I am rusty but if you let v exceed c:
The result is imaginary.