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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. 11 (page 883)

In Problems 7鈥� 42, find each limit algebraically
$\lim_{x 鈫� - 2} (5 x)$

Short Answer

Expert verified

The value of the limit $\lim_{x 鈫� - 2} (5 x) = - 10$

Step by step solution

01

Step 1. Given Information

The limit and the function is given as $\lim_{x 鈫� - 2} (5 x)$

We need to find the value of the limit of given function

02

Step 2. Value of the limit

We know,

$\lim_{x 鈫� c} f (x) 路 g (x) = [\lim_{x 鈫� c} f (x)] [\lim_{x 鈫� c} g (x)]$

Therefore,

$\lim_{x 鈫� - 2} (5 x) = [\lim_{x 鈫� - 2} 5] [\lim_{x 鈫� - 2} x]$

Now, $\lim_{x 鈫� c} b = b {b = c o n s \tan t}$ and $\lim_{x 鈫� c} x = c$

Therefore,

$[\lim_{x 鈫� - 2} 5] [\lim_{x 鈫� - 2} x] = [5] [- 2] = - 10$

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Most popular questions from this chapter

In Problems 7鈥� 42, find each limit algebraically

$\lim_{x 鈫� - 1} (8 x^{5} - 7 x^{3} + 8 x^{2} + x - 4)$

Graph each function. Use the graph to find the indicated limit, if it exists.

$\lim_{x 鈫� - 1} f (x), f (x) = x^{3} - 1$

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

Find limit algebraically: $\lim_{x 鈫� - 3} (2 x^{3})$

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

Find $f (2) a n d f (6) .$

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