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7th Edition

Ron Larson + 1 other

Publisher: Cengage Learning

ISBN: 9781337552516

Chapter 2, Problem 35RE

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:** The function to estimate the limit

**Given:**

**Formula Used:**

**Graph:**

Use Ti83 calculator to graph the function and its limit. The following steps are need.

Step1. Press ON button.

Step2. Press

Step3. Press 2^{nd} button.

Step4. Press GRAPH button.

Step5. Enter some values of X that approaches to 9.

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

To obtain the limit of the given function, we draw a straight passing through the point

We then use tabular method to estimate the limit

x |
-9.01 | -9.001 | -9 | -8.999 | -8.99 |

243.7201 | 243.027001 | ? | 242.973001 | 242 |

Calculus: Early Transcendental Functions

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Using the Intermediate Value Theorem In Exercises...Ch. 2.4 - Using the Intermediate Value Theorem In Exercises...Ch. 2.4 - Writing a Function Write a function that is...Ch. 2.4 - Sketching a Graph Sketch the graph of any function...Ch. 2.4 - Continuity of Combinations of Functions If the...Ch. 2.4 - Removable and Nonremovable Discontinuities...Ch. 2.4 - True or False? 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