Sometimes series are added to infinity. That requires a little different technique.
Zeno's Dichotomy Paradox--
If I am 10 feet away from someone, I must get half as close before I can reach them.
Now I am 5 feet from someone--again I must get half as close until I can reach them.
Now I am 2.5 feet away. To reach them I must first travel half the distance or 1.25 feet.
By this reasoning I will never actually reach them, because I must always travel half way there first.
Hmmm... deep thoughts for a Monday morning.
If I am 10 feet away from someone, I must get half as close before I can reach them.
Now I am 5 feet from someone--again I must get half as close until I can reach them.
Now I am 2.5 feet away. To reach them I must first travel half the distance or 1.25 feet.
By this reasoning I will never actually reach them, because I must always travel half way there first.
Hmmm... deep thoughts for a Monday morning.