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(a) Use numerical and graphical evidence to guess the value of the limit lim xl1 x3 2 1

Single Variable Calculus: Early Transcendentals | 8th Edition | ISBN: 9781305270336 | Authors: James Stewart ISBN: 9781305270336 484

Solution for problem 55 Chapter 2.2

Single Variable Calculus: Early Transcendentals | 8th Edition

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Single Variable Calculus: Early Transcendentals | 8th Edition | ISBN: 9781305270336 | Authors: James Stewart

Single Variable Calculus: Early Transcendentals | 8th Edition

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Problem 55

(a) Use numerical and graphical evidence to guess the value of the limit lim xl1 x3 2 1 sx 2 1 (b) How close to 1 does x have to be to ensure that the function in part (a) is within a distance 0.5 of its limit?

Step-by-Step Solution:

Problem 55

a) Use numerical and graphical evidence to guess the value of the limit

b) How close to 1 does x have to be in order to ensure that the function in part a is within 0.5 of its limit?

                                                              Step by Step Solution

Step 1 of 3

(a)

Make a table of values for the function  shown below:

x

f(x)

0.9

5.280931738

0.99

5.925312187

0.999

5.992503125

0.9999

5.999250031

1.0001

6.000750031

1.001

6.007503125

1.01

6.075312812

1.1

6.781557287

Step 2 of 3

Chapter 2.2, Problem 55 is Solved
Step 3 of 3

Textbook: Single Variable Calculus: Early Transcendentals
Edition: 8
Author: James Stewart
ISBN: 9781305270336

The full step-by-step solution to problem: 55 from chapter: 2.2 was answered by , our top Calculus solution expert on 03/19/18, 03:29PM. Since the solution to 55 from 2.2 chapter was answered, more than 224 students have viewed the full step-by-step answer. The answer to “(a) Use numerical and graphical evidence to guess the value of the limit lim xl1 x3 2 1 sx 2 1 (b) How close to 1 does x have to be to ensure that the function in part (a) is within a distance 0.5 of its limit?” is broken down into a number of easy to follow steps, and 47 words. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. This full solution covers the following key subjects: . This expansive textbook survival guide covers 95 chapters, and 5427 solutions.

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(a) Use numerical and graphical evidence to guess the value of the limit lim xl1 x3 2 1