either evaluate or explain why limit does not exist.lim f(x) as x --> 0 for (5 +2x+sinx) / (6cos x)I did substitution (5+2(0) + sin(0)) / 6cos(0) = (5+0+1) / (6 * 1)....BUT the book had (5+0+0) / (6 * 1).....struggling with why sin(0) = 1 and cos x = 0....as I thought when you find x the answer is y. so for sin(0) where x = 0 then why would this be 0? and same for cos(0) where x = 0, y would be 1 or -1??what is the logic behind how they are getting the numbers
either evaluate or explain why limit does not exist.lim f(x) as x --> 0 for (5 +2x+sinx) / (6cos x)I did substitution (5+2(0) + sin(0)) / 6cos(0) = (5+0+1) / (6 * 1)....BUT the book had (5+0+0) / (6 * 1).....struggling with why sin(0) = 1 and cos x = 0....as I thought when you find x the answer is y. so for sin(0) where x = 0 then why would this be 0? and same for cos(0) where x = 0, y would be 1 or -1??what is the logic behind how they are getting the numbers
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
either evaluate or explain why limit does not exist.
lim f(x) as x --> 0 for (5 +2x+sinx) / (6cos x)
I did substitution (5+2(0) + sin(0)) / 6cos(0) = (5+0+1) / (6 * 1)....BUT the book had (5+0+0) / (6 * 1).....
struggling with why sin(0) = 1 and cos x = 0....as I thought when you find x the answer is y. so for sin(0) where x = 0 then why would this be 0? and same for cos(0) where x = 0, y would be 1 or -1??
what is the logic behind how they are getting the numbers
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!
Step 1
VIEWTrending now
This is a popular solution!
Step by step
Solved in 1 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.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