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Q. 22

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Precalculus Enhanced with Graphing Utilities

Found in: Page 883

Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

In Problems 7– 42, find each limit algebraically.
$\lim_{x \to 2} {(3 x - 4)}^{2}$

The answer is 4.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step. 1 Given Information

Given is the limit on which x tends to 2 and the function given is:

${(3 x - 4)}^{2}$

Step. 2 Solving the limit

Firstly, we check whether the given function is in indeterminant form or not.

Since if we put $x = 2$ then it doesn't create any indeterminant form. So, to solve the limit we can directly put the value of x in the function. So,

\lim_{x \to 2} {(3 x - 4)}^{2} = {(3 (2) - 4)}^{2} = {(6 - 4)}^{2} = 2^{2} = 4 .

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

In Problems 7– 42, find each limit algebraically.
$\lim_{x \to 2} {(3 x - 4)}^{2}$

Step by Step Solution

Step. 1 Given Information

Step. 2 Solving the limit

Most popular questions for Math Textbooks

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Select your language

Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

In Problems 7– 42, find each limit algebraically.limx→2 3x-42

Step by Step Solution

Step. 1 Given Information

Step. 2 Solving the limit

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In Problems 7– 42, find each limit algebraically.
$\lim_{x \to 2} {(3 x - 4)}^{2}$