The relativity formulas lead to infinite numbers AT the speed of
light. It becomes harder and harder to approach c from both below and
above. In theory there could be particles (tachyons) that "have always
existed" above the speed of light. There is no evidence of such
particles, but their existence would not be inconsistent with
realtivity.
Also, in an interesting use of words, the reference to Dracula's
post said: "faster than light," not "faster than the speed of light."
"The speed of light," c, refers to light's speed in a vacuum. Any
material with an index of refration (i.e., any material) slows real
light down from this ideal speed. High speed particles can thus easily
pass light in a race in glass, water, air, etc. This is demonstrated
"every day at every large accelerator in the world." It can be easily
seen by the "blue glow," the optical equivalent of the shockwave caused
by an airplane flying faster than sound.