Q. 44 Use tables of values to make edu... [FREE SOLUTION]

91影视

Chapter 1: Q. 44 (page 88)

Use tables of values to make educated guesses for each of the limits in Exercises 39鈥�52.
$\lim_{x 鈫� 5} \frac{x - 5}{x^{2} - 25}$

Short Answer

Expert verified

The value of $\lim_{x 鈫� 5} \frac{x - 5}{x^{2} - 25}$ is $0.1$ .

Step by step solution

Step 1. Given information.

The given function is $\lim_{x 鈫� 5} \frac{x - 5}{x^{2} - 25}$ .

Step 2. Value of the limit.

Consider the table,

$x$	$4.9$	$4.99$	$4.999$	$5$	$5.001$	$5.01$	$5.1$
$\frac{x - 5}{x^{2} - 25}$	$0.101$	$0.1001$	$0.10001$	-	$0.0999$	$0.0999$	$0.099$

Hence, the value approaches to $0.1$ to the left and right.

Therefore,

$\lim_{x 鈫� 5} \frac{x - 5}{x^{2} - 25} = 0.1 or \frac{1}{10}$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Use tables of values to make educated guesses for each of the limits in Exercises 39鈥�52.
$\lim_{x 鈫� 5} \frac{x - 5}{x^{2} - 25}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Value of the limit.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Applied Mathematics

Discrete Mathematics

Probability and Statistics

Mechanics Maths

Statistics

Study anywhere. Anytime. Across all devices.

91影视

Use tables of values to make educated guesses for each of the limits in Exercises 39鈥�52.limx鈫�5x-5x2-25

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Value of the limit.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Applied Mathematics

Discrete Mathematics

Probability and Statistics

Mechanics Maths

Statistics

Study anywhere. Anytime. Across all devices.

Use tables of values to make educated guesses for each of the limits in Exercises 39鈥�52.
$\lim_{x 鈫� 5} \frac{x - 5}{x^{2} - 25}$