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11th Edition

Ron Larson + 1 other

Publisher: Cengage Learning

ISBN: 9781337275361

Chapter 1, Problem 33RE

Textbook Problem

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Graphical, Numerical, and Analytic Analysis In Exercises 33–36, use a graphing utility to graph the function and estimate the limit. Use a table to reinforce your conclusion. Then find the limit by analytic methods.

To determine

**To Graph:** Using a graph utility to graph the givenfunction and estimate the limit by analytic methods.

**Given:**

**Formula Used:**

**Calculation:** Use Ti83 calculator to graph the function and its limit. These steps are needed.

Step1. Press ON button.

Step2. Press

Step3. Press 2^{nd} button.

Step4. Press GRAPH button.

Step5. Enter some values of X that approaches to 0.

Step6. Press ZOOM and chose number 6.

Step7. Press ENTER button.

Step8. Input

Step9. Press ENTER button.

And the graph is shown below and value of limit is 0.312

To accomplish the limit of the given function, drawing a straight line passing through the point

We then use tabular method to estimate the limit

x |
-0.01 | -0.001 | 0 | 0.001 | 0.01 |

0.3335 | 0.3333 | ? | 0.3333 | 0.331 |

By examine the values of the table, we can measure that the value of the limit is

Calculus of a Single Variable

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