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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 14: Q. 14 (page 883)

In Problems 7鈥� 42, find each limit algebraically
$\lim_{x 鈫� - 3} (2 x^{3})$

Short Answer

Expert verified

The value of the limit $\lim_{x 鈫� - 3} (2 x^{3})$ is $- 54 .$

Step by step solution

01

Step 1. Given Information

The given limit and function is $\lim_{x 鈫� - 3} (2 x^{3})$

We need to find the value of the limit.

02

Step 2. Value of the limit

We know,

$\lim_{x 鈫� c} (a x^{n}) = a c^{n}$

Therefore,

$\lim_{x 鈫� - 3} (2 x^{3}) = 2 路 (- 3)^{3} = 2 脳 - 27 = - 54$

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Most popular questions from this chapter

Use the graph shown to determine if the limit exists. If it does, find its value.

Use a graphing utility to find the indicated limit rounded to two decimal places.

$\lim_{x 鈫� 3} \frac{x^{3} - 3 x^{2} + 4 x - 12}{x^{4} - 3 x^{3} + x - 3}$

In Problems 7鈥� 42, find each limit algebraically

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In Problems 7鈥� 42, find each limit algebraically

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True or False Every polynomial function is continuous at every real number.

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