Squeeze theorem

The  exercise appears under the Differential calculus Math Mission. This exercise explores the squeeze or sandwich theorem.

Types of Problems
There are two types of problems in this exercise:


 * 1) Find the limit of the function algebraically: This problem provides the rule for a particular function and a limiting value. The student is expected use the function to determine the limit via the squeeze theorem and provide the correct answer.Squeeze1.png
 * 2) Find the limit of the function graphically: This problem provides the graph of a particular function and a limiting value. The student is expected use the function to determine the limit via the squeeze theorem and provide the correct answer.Squeeze2.png

Strategies
Knowledge of limits and functions are encouraged to ensure success on this exercise.
 * 1) The squeeze theorem is also sometimes called the sandwich theorem.
 * 2) The answer can be found by only performing one of the bounds, since the function has to be squeezed between it's bounds.

Real-life Applications

 * 1) Limits are used to define both the derivative and the integral.
 * 2) The concept of infinitesimals (arbitrarily close to) has applications to anything where precise answers are not always practical or possible.
 * 3) The squeeze theorem helps to understand functions that are too complicated by conventional methods because they approximate the function being considered with simpler functions.