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Q. 17

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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
$\lim_{x \to - 1} (3 x^{2} - 5 x)$

The value of the limit $\lim_{x \to - 1} (3 x^{2} - 5 x) = 8$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information

The given limit function is $\lim_{x \to - 1} (3 x^{2} - 5 x)$

We need to find the value of the limit.

Step 2. Expanding the limit

We know,

$\lim_{x \to c} [f (x) - g (x)] = \lim_{x \to c} f (x) - \lim_{x \to c} g (x) T h e r e f o r e, \lim_{x \to - 1} (3 x^{2} - 5 x) = \lim_{x \to - 1} 3 x^{2} - \lim_{x \to - 1} 5 x$

Step 3. Value of the limit

The simplified expression is

$\lim_{x \to - 1} (3 x^{2} - 5 x) = \lim_{x \to - 1} 3 x^{2} - \lim_{x \to - 1} 5 x = {3 \times {(1)}^{2}} - {5 \times - 1} = 3 - (- 5) = 3 + 5 = 8$

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