Chapter 14: Q. 11 (page 876)

In Problems 7–16, use a table to find the indicated limit.
$11 . \lim_{x \to 4} \frac{x^{2} - 4 x}{x - 4}$ .

Short Answer

Expert verified

$\lim_{x \to 4} \frac{x^{2} - 4 x}{x - 4} = 4$ .

Step by step solution

Step 1. Given information.

A limit function is given as $\lim_{x \to 4} \frac{x^{2} - 4 x}{x - 4}$ .

Step 2. Form the table.

Choose values of x close to 4, arbitrarily starting with 3.99 then we select additional numbers that get closer to 4, but remain less than 4. Next choose values of x greater than 4, staring with 4.01, which get closer to 4.

Finally evaluate $f (x) = \frac{x^{2} - 4 x}{x - 4}$ at each choice to obtain the below Table:

Asx gets closer to 4 then f(x)gets closer to 4.

So, $\lim_{x \to 4} \frac{x^{2} - 4 x}{x - 4} = 4$ .

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In Problems 7–16, use a table to find the indicated limit.
$11 . \lim_{x \to 4} \frac{x^{2} - 4 x}{x - 4}$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Form the table.

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In Problems 7–16, use a table to find the indicated limit.11.limx→4x2-4xx-4.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Form the table.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Statistics

Logic and Functions

Decision Maths

Pure Maths

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Study anywhere. Anytime. Across all devices.

In Problems 7–16, use a table to find the indicated limit.
$11 . \lim_{x \to 4} \frac{x^{2} - 4 x}{x - 4}$ .