If I stand in front of a mirror, the light takes a finite, albeit small, amount of time to reach my eye.
So I am seeing myself as I looked some small fraction of time in the past.
Now if I stand with a second mirror behind me, I can see an infinite number of images of myself, each slightly older.
If I had my arm raised, and then I lowered it, can I still see an image of myself with raised arm?
I'm thinking that those tiny fractions of delay, given enought mirrors, would eventually add up to enough of a delay to be seen, however this would require super-human infinite vision.