Using Bounds to Find a Limit

Using bounds to find a limit is the main idea behind the Squeeze Theorem. It helps when a function changes in a way that makes direct limit evaluation difficult. Some functions may oscillate quickly or follow irregular patterns near a specific input value.

The theorem works by placing the functio...

Some functions are bounded between two other functions, which determine their limiting value.

The Squeeze Theorem applies when a function remains bounded between two other functions over an interval, usually denoted by I, near a point, and both bounding functions approach the same value. Within that interval, the function constraine...