One must remember that the lightspeed limit to things in motion must be upheld within and frame of reference that obeys relativity. So lets drop a bomb shell on casual students and ask it the other way around,
Where doesn't the speed of light limit you?
1. In ultra hot areas, say the big bang up until 10 ^ -34 seconds after detonation.
Why - the four forces combine and spacetime is not distinguishable - so the Universe can expand initially (inflatation) at tens of thousands of times lightspeed.
2. In ultra dense areas of spacetime
Within a black hole, cosmic string or wormholes event horizon - again more or less because of point 1 above - is a non relativistic framework
3. At very great distances (far seperated galactic scales)
This is the surprise to folk. Folk often known galaxies are moving away from us and the farther they are from us then they faster they are moving, but most view this as a recession velocity and therefore expect galactic recession is lightspeed limited. WRONG!
On two counts! Its far truer to say spacetime itself is expanding between most galaxies - especially if they are not gravitationally bound. What is more this expansion may occur with no limitation under relativity (because there is no meaningful frame of reference) to keep to lightspeed. So rather than say the Great Attractor is heading away from the Horsehead Nebulae at 600 Km/sec, its more accurate to say that spacetime between them is expanding at this rate.
Secondly spacetime within a galaxy isn't expanding - its gravitationally bound. But spacetime between galaxies does not have to be and hence doesn't have to comply with relativity.
It is possible to accept there are galaxies outside our Hubble sphere that are in an volume of spacetime that is moving away from us at far greater than lightspeed - we can of course never see anything outside our Hubble sphere.
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From an excellent primer in Cosmology
http://pancake.uchicago.edu/~carroll/cfcp/primer/faq.html
Are distant galaxies moving faster than the speed of light? Wouldn't that violate relativity?
A profound feature of relativity is that two objects passing by each other cannot have a relative velocity greater than the speed of light. An even more profound feature, one which has received much less publicity, is that the concept of "relative velocity" does not even make sense unless the objects are very close to each other. In Einstein's general theory of relativity (which describes gravity as the curvature of spacetime), there is no way to define the velocity between two widely-separated objects in any strictly correct sense. The "velocity" that cosmologists speak of between distant galaxies is really just a shorthand for the expansion of the universe; it's not that the galaxies are moving, it's that the space between them is expanding. If the distance isn't too great, this expansion looks and feels just like a recession velocity, but when the distance becomes very large that resemblance breaks down. In particular, it's perfectly plausible to have distant galaxies whose "recession velocity" is greater than the speed of light. (We couldn't see such galaxies directly, since light from them would never reach us, but that doesn't mean they aren't there.) The resolution to this paradox is simply that we have taken a convenient analogy too far, and there isn't a well-defined "speed" between us and distant objects.