|One-sided limits from graphs|
|Exercise Name:||One-sided limits from graphs|
|Math Missions:||Precalculus Math Mission, Mathematics III Math Mission Differential calculus Math Mission|
|'Types of Problems:||2|
The One-sided limits from graphs exercise appears under the Precalculus Math Mission, Mathematics III Math Mission and Differential calculus Math Mission. This exercise introduces and practices various kinds of one-sided limits.
Types of Problems
There are two types of problems in this exercise:
- Select the limit from the list: This problem provides the student with a graph of a function. The student is asked to use the graph to determine the one-sided limit and make the correct selection from a multiple choice list.
- Find the value of the limit: This problem provides the student with a graph of a function. The student is asked to use the graph to determine the one-sided limit and type it in the space provided.
Knowledge and comfort with reading functions from graphs would ensure success on this exercise.
- One-sided limits always exist and can possibly be infinite.
- Use a finger and travel along the curve towards the x-value in the limit from the direction specified in the problem (- is from the left and + is from the right).
- The y-value is the answer since that is the output (value) of the function.
- On the Find the value of the limit problem the limit will not be infinity.
- Occasionally the function will be given also a rule . If so, it is possible to find the answer and select it before the graph loads.
- Limits are the foundation of the definition for both the derivative and the integral from calculus.
- Calculus has massive applications to physics, chemistry, biology, economics and many other fields.