Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
Question 34
![value of lim f(x).
x→0
yA
c. Use technology to graph y = f(x) over the inter-
val [-10-7, 10-"]. Based on your graph, guess the
value of lim f(x).
0.2
0.2
0.4
0,6
x→0
d. Most technologies can keep track of sixteen or
fewer digits. In light of this observation, discuss
what might be happening in parts b and c.
-0.2-
-0.4
In(1+x?)
32. Consider the function f (x):
Figure 2.31 Graph of the function f(x) = /x cos
x2
a. Use technology to graph y
val [-2, 2].
f(x) over the inter-
26. Consider the function
b. Use technology to graph y = f(x) over the in-
terval [-0.1, 0.1]. Based on your graph, guess the
value of lim f(x).
f(x) = |x| sin
X
whose graph is given Figure 2.32. Does lim f(x)
x→0
x→0
exist? If so, what is it? If not, why not?
c. Use technology to graph y
val [-10-7, 10-"]. Based on your graph, guess the
value of lim f(x).
= f(x) over the inter-
YA
0.4
x→0
0.2
d. Most technologies can keep track of sixteen or
fewer digits. In light of this observation, discuss
what might be happening in parts b and c.
-0.4/-0:2
0.2
0,4 x
-0.2
In Problems 33 to 38, prove the limit exists using the
formal definition of the limit.
33. lim(x + 1) = 6
-0.4
(:)
Figure 2.32 Graph of the function f(x) = |x| sin
X→5
34. lim(1 – 3x) = –14
|
27. Consider the statement lim(4 + x) = 5. How close
X→5
x→1
1
35. lim
х>2 х
1
does x need to be to 1 to ensure that 4 +x is within
2
the given distance of 5?
36. lim(x?
— Зх + 2) — 0
а. 0.1
b. 0.01
c. 0.001
x→1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4db1e84-75df-498d-9686-5cabfd0e0c2f%2F39577a0b-4c90-4063-a7a0-8cc5fc37c9a0%2F5x1fl2t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:value of lim f(x).
x→0
yA
c. Use technology to graph y = f(x) over the inter-
val [-10-7, 10-"]. Based on your graph, guess the
value of lim f(x).
0.2
0.2
0.4
0,6
x→0
d. Most technologies can keep track of sixteen or
fewer digits. In light of this observation, discuss
what might be happening in parts b and c.
-0.2-
-0.4
In(1+x?)
32. Consider the function f (x):
Figure 2.31 Graph of the function f(x) = /x cos
x2
a. Use technology to graph y
val [-2, 2].
f(x) over the inter-
26. Consider the function
b. Use technology to graph y = f(x) over the in-
terval [-0.1, 0.1]. Based on your graph, guess the
value of lim f(x).
f(x) = |x| sin
X
whose graph is given Figure 2.32. Does lim f(x)
x→0
x→0
exist? If so, what is it? If not, why not?
c. Use technology to graph y
val [-10-7, 10-"]. Based on your graph, guess the
value of lim f(x).
= f(x) over the inter-
YA
0.4
x→0
0.2
d. Most technologies can keep track of sixteen or
fewer digits. In light of this observation, discuss
what might be happening in parts b and c.
-0.4/-0:2
0.2
0,4 x
-0.2
In Problems 33 to 38, prove the limit exists using the
formal definition of the limit.
33. lim(x + 1) = 6
-0.4
(:)
Figure 2.32 Graph of the function f(x) = |x| sin
X→5
34. lim(1 – 3x) = –14
|
27. Consider the statement lim(4 + x) = 5. How close
X→5
x→1
1
35. lim
х>2 х
1
does x need to be to 1 to ensure that 4 +x is within
2
the given distance of 5?
36. lim(x?
— Зх + 2) — 0
а. 0.1
b. 0.01
c. 0.001
x→1
Expert Solution
Step 1
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning