1. Consider the function f(x): (a) Complete the following tables. Enter at least 8 decimal places for your answer. cos x 1 cos x 1 lim 1-0 x -0.1 -0.01 -0.001 -0.0001 X f(x) = cos x 1 = x X lim x-0+ X (c) Put a check mark in front of the correct answer. (c-1) Is f(0) defined? Yes (b) Based on your tables above, make a guess for the following limits: cos x 1 cos x 1 X cos x 1 0.1 0.01 the limit lim 2-0- x No! It is a guess only, not a proof. 0.001 0.0001 No f(x) = (c-2) Does this matter for the limits of lim lim 1-0 x-0+ Yes. For this reason, none of the above limit exists. lim x-0 cos x 1 X cos x 1 1 X X lim x-0 cos x 1 ? X No. What happens at "a' is irrelevant to the limit as x approaches a. (c-3) Does the table of values constitute a full proof of the limit value of lim cos - 1 ? I-0- X Yes! Full points would be awarded on a test if I use the above table to evaluate cos x 1
1. Consider the function f(x): (a) Complete the following tables. Enter at least 8 decimal places for your answer. cos x 1 cos x 1 lim 1-0 x -0.1 -0.01 -0.001 -0.0001 X f(x) = cos x 1 = x X lim x-0+ X (c) Put a check mark in front of the correct answer. (c-1) Is f(0) defined? Yes (b) Based on your tables above, make a guess for the following limits: cos x 1 cos x 1 X cos x 1 0.1 0.01 the limit lim 2-0- x No! It is a guess only, not a proof. 0.001 0.0001 No f(x) = (c-2) Does this matter for the limits of lim lim 1-0 x-0+ Yes. For this reason, none of the above limit exists. lim x-0 cos x 1 X cos x 1 1 X X lim x-0 cos x 1 ? X No. What happens at "a' is irrelevant to the limit as x approaches a. (c-3) Does the table of values constitute a full proof of the limit value of lim cos - 1 ? I-0- X Yes! Full points would be awarded on a test if I use the above table to evaluate cos x 1
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
Can you please do question 1 letter b, c
![1. Consider the function f(x):
(a) Complete the following tables. Enter at least 8 decimal places for your answer.
cos x 1
cos x 1
lim
x-0-
X
-0.1
-0.01
-0.001
-0.0001
X
cos x 1
f(x) =
X
X
lim
x-0+
COS X 1
X
(c) Put a check mark in front of the correct answer.
(c-1) Is f(0) defined?
Yes
(b) Based on your tables above, make a guess for the following limits:
cos x 1
cos x 1
X
0.01
the limit lim
x-0-
Xx
No! It is a guess only, not a proof.
0.1
0.001
0.0001
No
1
f(x)=
(c-2) Does this matter for the limits of lim
lim
x→0+
H-0-
X
Yes. For this reason, none of the above limit exists.
=
lim
x-0
cos x 1
X
cos x 1
7
X
X
lim
x-0
cos x
x
1
-?
No. What happens at "a' is irrelevant to the limit as x approaches a.
(c-3) Does the table of values constitute a full proof of the limit value of lim
COS X-
x-0-
X
Yes! Full points would be awarded on a test if I use the above table to evaluate
cos x 1
-?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7634a6a-5ecc-40e2-9892-46ba7a4cefd4%2Fc8c63a84-5cef-4602-9440-954bc3e2bec9%2Fnm9gk6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Consider the function f(x):
(a) Complete the following tables. Enter at least 8 decimal places for your answer.
cos x 1
cos x 1
lim
x-0-
X
-0.1
-0.01
-0.001
-0.0001
X
cos x 1
f(x) =
X
X
lim
x-0+
COS X 1
X
(c) Put a check mark in front of the correct answer.
(c-1) Is f(0) defined?
Yes
(b) Based on your tables above, make a guess for the following limits:
cos x 1
cos x 1
X
0.01
the limit lim
x-0-
Xx
No! It is a guess only, not a proof.
0.1
0.001
0.0001
No
1
f(x)=
(c-2) Does this matter for the limits of lim
lim
x→0+
H-0-
X
Yes. For this reason, none of the above limit exists.
=
lim
x-0
cos x 1
X
cos x 1
7
X
X
lim
x-0
cos x
x
1
-?
No. What happens at "a' is irrelevant to the limit as x approaches a.
(c-3) Does the table of values constitute a full proof of the limit value of lim
COS X-
x-0-
X
Yes! Full points would be awarded on a test if I use the above table to evaluate
cos x 1
-?
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
![Precalculus](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Calculus: Early Transcendental Functions](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning