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Q. 20

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Precalculus Enhanced with Graphing Utilities
Found in: Page 876
Precalculus Enhanced with Graphing Utilities

Precalculus Enhanced with Graphing Utilities

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 value is limx2fx=2.

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Step by Step Solution

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 2 of f(x).

The graph of the function reaches a removable discontinuity when x approaches to 2.

From the graph, we can clearly see that f(x) approaches 2 as x approaches to 2.

limx2f(x)=2

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