Squeeze Theorem

Definition

The Squeeze Theorem states that if two functions, g(x) and h(x), both approach the same limit L as x approaches a certain value c, and another function f(x) is always between g(x) and h(x) near c (except possibly at c itself), then f(x) also approaches L as x approaches c.

Related terms

Limit:

A limit is the value that a function or sequence "approaches" as the input or index approaches some value. It represents where the function or sequence is heading.

Continuity:

Continuity refers to when a function has no breaks, jumps, or holes in its graph. It means that there are no sudden changes or interruptions in the behavior of the function.

Intermediate Value Theorem:

The Intermediate Value Theorem states that if a continuous function takes on values of opposite signs within an interval, then it must have at least one root (or zero) within that interval.