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Chapter 14: Q. 25 (page 876)

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

limx鈫�2f(x),f(x)=1-x2

Short Answer

Expert verified

The limit is-3.

Step by step solution

01

Step 1. Given Information  

We are given a function f(x)=1-x2and we need to graph the function and find limx鈫�2f(x).

02

Step 2. Plotting the graph 

So, the graph of the function f(x)=1-x2is

03

Step 3. Finding the limit  

To find the value of limx鈫�2f(x)we need to find the value of the function at x=2.

role="math" localid="1646978216414" f(x)=1-x2鈬�f(2)=1-(2)2鈬�f(2)=-3鈭�limx鈫�2f(x)=-3

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In Problems 13鈥�32, use the accompanying graph of y=f(x).

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