Squeeze Theorem*

The squeeze theorem is a theorem regarding the limit of a function.

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.

Essential Questions

How can squeeze theorem be used to determine limits?