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Finding limits numerically
Finding-limits-numerically 256
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:

  1. 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.
    Fln1

    Fill in the values as needed and infer the limit

  2. 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.
    Fln2

    Select the correct limit

Strategies

Knowledge of functions and evaluation are all that is required for success on this exercise.

  1. The values of the function should get "very" close to a particular number. This problem asks for the estimation essentially.
  2. The rounding seems to be six decimal places throughout (where needed).
  3. L'Hopital's Rule can be applied as a shortcut on some of these exercises.

Real-life Applications

  1. Limits are a foundation to defining and applying both the derivative and the integral.

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