Squeeze theorem | |
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Description | |
Exercise Name: | Squeeze theorem |
Math Missions: | Differential calculus Math Mission |
Types of Problems: | 2 |
The Squeeze theorem 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:
- Find the limit of the function algebraically: This problem provides the rule for a particular function and a limiting value. The user is expected use the function to determine the limit via the squeeze theorem and provide the correct answer.
- Find the limit of the function graphically: This problem provides the graph of a particular function and a limiting value. The user is expected use the function to determine the limit via the squeeze theorem and provide the correct answer.
Strategies[]
Knowledge of limits and functions are encouraged to ensure success on this exercise.
- The squeeze theorem is also sometimes called the sandwich theorem.
- 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[]
- Limits are used to define both the derivative and the integral.
- The concept of infinitesimals (arbitrarily close to) has applications to anything where precise answers are not always practical or possible.
- The squeeze theorem helps to understand functions that are too complicated by conventional methods because they approximate the function being considered with simpler functions.
- Calculus has massive applications to physics, chemistry, biology, economics and many other fields.