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Chapter 14: Q. 18 (page 883)

In Problems 7鈥� 42, find each limit algebraically

limx鈫�28x2-4

Short Answer

Expert verified

The value of the limit islimx鈫�28x2-4=28

Step by step solution

01

Step 1. Given Information

The given limit function islimx鈫�28x2-4

We need to find the value of the limit.

02

Step 2. Expanding the limit

It is known,

limx鈫�c[f(x)-g(x)]=limx鈫�cf(x)-limx鈫�cg(x)

Therefore,

limx鈫�28x2-4=limx鈫�28x2-limx鈫�24

03

Step 3. Value of the limit

On solving The simplified expression,

limx鈫�28x2-4=limx鈫�28x2-limx鈫�24={8脳(2)2}-4={8脳4}-4=32-4=28.

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Most popular questions from this chapter

True or False Every polynomial function has a graph that can be traced without lifting pencil from paper.

limx鈫�cx=___

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Findf(2)andf(6).

True or False The limit of a quotient equals the quotient of the limits.
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