Two-sided limits from graphs | |
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Description | |
Exercise Name: | Two-sided limits from graphs |
Math Missions: | Precalculus Math Mission, Mathematics III Math Mission, Differential calculus Math Mission |
Types of Problems: | 1 |
The Two-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 two-sided limits.
Types of Problems
There is one type of problem in this exercise:
- Select the limit from the list: This problem provides the user with a graph of a function. The user is asked to use the graph to determine the one-sided limit and make the correct selection from a multiple choice list.
Strategies
Knowledge and comfort with reading functions from graphs would ensure success on this exercise.
- Dependent on the textbook used, a two-sided limit cannot be infinite, but it can possibly not exist.
- Use a finger and travel along the curve towards the x-value in the limit from both directions. They need to be the same for the limit to exist.
- The y-value is the answer since that is the output (value) of the function.
- 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.
Real-life Applications
- Limits are the foundation of the definition for both the derivative and the integral from calculus.