I doubt anyone would live for an eternity. Even if we had the techology to live for a million years, everyone would have some sort of accident before then. Perhaps you will die in a super nova accident, while visiting another galaxy in 10.000 years?
Well, you could in theory live forever if you transitioned your consciousness into a computer. It will soon be possible to simulate a human brain in a computer (see the Blue Brain project http://bluebrain.epfl.ch). Philosophical issues aside, you can effectively live forever this way as long as human civilization is able to continue getting resources and energy to power the computers.
I recall a study where they said nobody would live beyond a certain age due to the probability of accidents occuring (the age was something like 200-300 years old).
