Chapter 1: Q. 57 (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.
$\lim_{x \to 1} \frac{x - 1}{x^{2} - 1}$

Short Answer

Expert verified

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

Step by step solution

Step 1. Given information.

The given function is $\lim_{x \to 1} \frac{x - 1}{x^{2} - 1} .$

Step 2. Graph of the equation.

The graph of the function is,

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

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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.
$\lim_{x \to 1} \frac{x - 1}{x^{2} - 1}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Graph of the equation.

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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→1x-1x2-1

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Graph of the equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

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Applied Mathematics

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.
$\lim_{x \to 1} \frac{x - 1}{x^{2} - 1}$