|Finding limits numerically|
|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.
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.
- Limits are a foundation to defining and applying both the derivative and the integral.