Chapter 1: Q. 58 (page 88)

Sketch graphs by hand and use them to make approximations for each of the limits in Exercises 53–66. If a two-sided limit does not exist, describe the one-sided limits.
$\lim_{x \to \infty} \frac{x - 4}{x^{2} - 4}$

Short Answer

Expert verified

The value is $\lim_{x \to \infty} \frac{x - 4}{x^{2} - 4} = \frac{1}{4}$ and graph is,

Step by step solution

Step 1. Given information.

The given function is $\lim_{x \to \infty} \frac{x - 4}{x^{2} - 4}$

Step 2. Graph of the function.

The graph of the function is,

$A s x \to \infty, f (x) = \frac{1}{4} T h e r e f o r e, \lim_{x \to \infty} \frac{x - 4}{x^{2} - 4} = \frac{1}{4}$

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Sketch graphs by hand and use them to make approximations for each of the limits in Exercises 53–66. If a two-sided limit does not exist, describe the one-sided limits.
$\lim_{x \to \infty} \frac{x - 4}{x^{2} - 4}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Graph of the function.

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Sketch graphs by hand and use them to make approximations for each of the limits in Exercises 53–66. If a two-sided limit does not exist, describe the one-sided limits.limx→∞x-4x2-4

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Graph of the function.

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

Sketch graphs by hand and use them to make approximations for each of the limits in Exercises 53–66. If a two-sided limit does not exist, describe the one-sided limits.
$\lim_{x \to \infty} \frac{x - 4}{x^{2} - 4}$