Getting sucked into a black hole causes one to live forever.

I'm willing to bet that getting sucked into a black hole would have the opposite effect on the amount of time you'll continue to live.

Not in your reference frame, where it generally causes you to die within seconds. But from the perspective of the outside universe, time dialation causes you to be in the process of falling toward the event horizon forever without ever arriving. Thus if you survive until hitting the horizon (possible with a very large black hole), others will see you as living forever.

But the amount of time it would take for a single thought of yours would tend towards infinity. That's no kind of eternal life.

You'd be pulled apart by tidal forces before you reached the event horizon unless the black hole were really super-massive (the source I found talks about black holes somewhere around 30,000 solar masses as qualifying). Still, no matter how big the black hole is, your eventual fate is the same -- tidal forces will pull you out in a long string to splat at opposite ends of your ship just before your ship is itself torn apart and shredded into a long string as it continues to fall inward.

Living as defined by biology...no.

Living as defined by information...sure, its conserved.

@Sethrates: That's only true if the black hole doesn't "evaporate".