Is the batter out if he inadvertently make contact with a slow rolling ball in foul territory?

Answer 1

If the ball is in fair territory, the fact that the fielder is standing in foul territory does NOT make the ball foul. the same as if a ball is foul, the fielder standing in fair territory doesn't make the ball fair.

Answer 2

A batter is out anytime a fielder catches a foul fly ball.

Answer 3

If the ball itself is in foul territory, then the batter would not be out, because once the ball is foul it's considered a dead ball. Anybody can touch it.