MathDB

Let two glasses, numbered

1

and

2

, contain an equal quantity of liquid, milk in glass

1

and coffee in glass

2

. One does the following: Take one spoon of mixture from glass

1

and pour it into glass

2

, and then take the same spoon of the new mixture from glass

2

and pour it back into the first glass. What happens after this operation is repeated

n

times, and what as

n

tends to infinity?

Problem Statement