Because the speed of light is finite, the further we look into space, the earlier we see. A galaxy seen 50 million light years away is 50 million years ago. How far out in space and how far back in time can we expect to see, and what should it look like? To a first approximation and ignoring local galactic interactions, the Hubble model of the universe is a scatter of galaxies undergoing constant uniform expansion. As seen from any one galaxy, all other galaxies are receding directly away, each with a velocity proportional to distance from the observer. This article shows how the author applies calculus to special relativity's velocity addition formula. (Contains 4 notes.)