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Q. 21

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Precalculus Enhanced with Graphing Utilities

Found in: Page 876

Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

Use the graph shown to determine if the limit exists. If it does, find its value.

The limit does not exist.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information

We are given the graph and we need to determine if the limit exists and find its value.

Step 2. Finding the limit

We need to find the limit of the function as $x$ approaches to $3$ of $f (x)$ .

The graph of the function reaches a removable discontinuity when $x$ approaches to $3$ from the left.

From the graph, we can clearly see that $f$ approaches to $3$ from the left and to $6$ from the right as $x$ approaches to $3$ .

The value of the function from the left and right limits does not coincide.

Therefore, the limit does not exist.

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