Chapter 14: Q. 18 (page 883)

In Problems 7– 42, find each limit algebraically
$\lim_{x \to 2} (8 x^{2} - 4)$

Short Answer

Expert verified

The value of the limit is $\lim_{x \to 2} (8 x^{2} - 4) = 28$

Step by step solution

Step 1. Given Information

The given limit function is $\lim_{x \to 2} (8 x^{2} - 4)$

We need to find the value of the limit.

Step 2. Expanding the limit

It is known,

$\lim_{x \to c} [f (x) - g (x)] = \lim_{x \to c} f (x) - \lim_{x \to c} g (x)$

Therefore,

$\lim_{x \to 2} (8 x^{2} - 4) = \lim_{x \to 2} 8 x^{2} - \lim_{x \to 2} 4$

Step 3. Value of the limit

On solving The simplified expression,

$\lim_{x \to 2} (8 x^{2} - 4) = \lim_{x \to 2} 8 x^{2} - \lim_{x \to 2} 4 = {8 \times {(2)}^{2}} - 4 = {8 \times 4} - 4 = 32 - 4 = 28 .$

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In Problems 7– 42, find each limit algebraically
$\lim_{x \to 2} (8 x^{2} - 4)$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Expanding the limit

Step 3. Value of the limit

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In Problems 7– 42, find each limit algebraicallylimx→28x2-4

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Expanding the limit

Step 3. Value of the limit

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Pure Maths

Statistics

Probability and Statistics

Theoretical and Mathematical Physics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In Problems 7– 42, find each limit algebraically
$\lim_{x \to 2} (8 x^{2} - 4)$