Finding limits numerically | |
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Description | |
Exercise Name: | Finding limits numerically |
Math Missions: | Precalculus Math Mission, Mathematics III Math Mission, Differential calculus Math Mission |
Types of Problems: | 2 |
The Finding limits numerically exercise appears under the Precalculus Math Mission, Mathematics III Math Mission and Differential calculus Math Mission. This exercise explores the concept of a limit by a numerical approach.
Types of Problems
There are two types of problems in this exercise:
- Fill in the values as needed and infer the limit: This problem has a chart with a function and several inputs. The user is expected to fill in the chart if any values are requested, then use the table to find the limit.
- Select the correct limit: This problem provides a T-table filled in with several values. The user is asked to use the table to find the limit and select the correct answer from a multiple choice list.
Strategies
Knowledge of functions and evaluation are all that is required for success on this exercise.
- The values of the function should get "very" close to a particular number. This problem asks for the estimation essentially.
- The rounding seems to be six decimal places throughout (where needed).
- L'Hopital's Rule can be applied as a shortcut on some of these exercises.
Real-life Applications
- Limits are a foundation to defining and applying both the derivative and the integral.