From a spaceship traveling near speed of light towards Earth, would you observe a fast-played movie?

Question

That is, assume you are very near the speed of light. Assume also you have a powerful telescope on board that lets you observe a certain location on Earth. Moving towards Earth, you are, at each point in time, capturing light as it was a bit more recent compared to the points you left behind in your travel. Would this not mean that you'd see fast-forward action in play at that location you're observing? Would this not be aided if we also add the assumption of relativity for time, and suppose that time inside the ship has slowed down so the perception of light collected by the telescope becomes even more dramatical? Anybody with knowledge on such similar phenomenon?

Answer 1

I remember Carl Sagan talking about this on one of his appearances on the Johnny Carson Show.
Because the speed of light is always a constant to any observer, the information would still be reaching you at the speed of light. Now, based on spatial compression and time dilation on your part possibly you would receive more than one of earth's second's worth of information in the time it takes one of your ship's seconds to elapse. But, bear in mind depending upon how close you got, you would need to slow down so as not to impact ar go by and be going away from earth, so you would eventually come back into synch with earth's space-time frame of reference.