The universe is finite.
In my research, I've observed that the Universe appears to be expanding at an accelerating rate, and a number of models have arisen to predict its ultimate fate. There are various multiverse hypotheses, in which physicists have suggested that the Universe might be one among many universes that likewise exist. The farthest distance that it is theoretically possible for humans to see is described as the observable Universe.
This is all just my opinion, of course, but my telescope is the best Sears sold in '79--so I'd say I'm pretty close.