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Chapter 14: Q. 25 (page 889)

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

Does limx鈫�4f(x)exist? If it does, what is it?

Short Answer

Expert verified

Yes limit exist andlimx鈫�4f(x)=0.

Step by step solution

01

Step. 1 Given and limit

We are given with the graph of the function and to for the limit to exist LHL = RHL.

02

Step. 2 Calculating LHL and RHL

From the graph it is clear that,

limx鈫�4-f(x)=0and limx鈫�4+f(x)=0.

Since LHL = 0 and RHL = 0.

Therefore, the limit of the function exist at x=4and it is equal to 0.

limx鈫�4f(x)=0.

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