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Chapter 14: Q. 20 (page 876)

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

Short Answer

Expert verified

The value islimx鈫�2fx=2.

Step by step solution

01

Step 1. Given Information 

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

02

Step 2. Finding the limit 

We need to find the limit of the function as xapproaches to 2of f(x).

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

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

鈭�limx鈫�2f(x)=2

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Most popular questions from this chapter

Graph each function. Use the graph to find the indicated limit, if it exists.

limx鈫�蟺f(x),f(x)=cosx

Graph each function. Use the graph to find the indicated limit, if it exists.

limx鈫�0f(x),f(x)=ex

Graph each function. Use the graph to find the indicated limit, if it exists.

limx鈫�-1f(x),f(x)=2x-1

True or False Some rational functions have holes in their graph.

In Problems 7鈥�16, use a table to find the indicated limit.

12.limx鈫�3=x2-9x2-3x.
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