It is also known as:
- pinching theorem
- sandwich theorem
- sandwich rule
- squeeze lemma
It is typically used to confirm the limit of a function via comparison with two other functions whose limits are known or easily computed.
Fun fact 1: It was first used geometrically in an effort to compute π.
Fun fact 2: The squeeze theorem is also known as the two policemen (and a drunk) theorem.
- The story is that if two policemen are escorting an intoxicated prisoner between them, and both officers go to a cell, then (regardless of the path taken, and the fact that the prisoner may be wobbling about between the policemen) the prisoner must also end up in the cell.