Near black hole event horizon time dilation?

[darkhorror]

Lets say we have a couple objects, one very close to a black hole, one a little farther out and then one a good distance away. Would the one very close to the black hole see the other ones time moving much quicker than their own time? How about just as they are going to hit the event horizon? How does that work with the speed of light and it's frequency?

 

[Simon Bridge]

All this is often written about:
http://en.wikipedia.org/wiki/Event_horizon

Or you can see what it looks like for yourself:
http://apod.nasa.gov/htmltest/rjn_bht.html

And a common questions faq:
http://blogs.discovermagazine.com/b...you-dont-know-about-black-holes/#.UzphiVT_RXo

So where does this question come from?