Use the following definitions. Assume f exists for all x near a with x > a. We
Question:
Use the following definitions. Assume f exists for all x near a with x > a. We say the limit of f(x) as x approaches a from the right of a is L and write, if for any ε > 0 there exists δ > 0 such that
Assume f exists for all x near a with x < a. We say the limit of f(x) as x approaches a from the left of a is L and write if for any ε > 0 there exists δ > 0 such that
Why is the last inequality in the definition
of namely, 0 < |x - a| < δ, replaced with 0 < a - x < δ in the definition of
Transcribed Image Text:
lim f(x) = L, х- хэа || f(x) – L| < ɛ whenever 0 < x – a < 8.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 25% (4 reviews)
Because we are approaching a from the le...View the full answer
Answered By
Somshukla Chakraborty
I have a teaching experience of more than 4 years by now in diverse subjects like History,Geography,Political Science,Sociology,Business Enterprise,Economics,Environmental Management etc.I teach students from classes 9-12 and undergraduate students.I boards I handle are IB,IGCSE, state boards,ICSE, CBSE.I am passionate about teaching.Full satisfaction of the students is my main goal.
I have completed my graduation and master's in history from Jadavpur University Kolkata,India in 2012 and I have completed my B.Ed from the same University in 2013. I have taught in a reputed school of Kolkata (subjects-History,Geography,Civics,Political Science) from 2014-2016.I worked as a guest lecturer of history in a college of Kolkata for 2 years teaching students of 1st ,2nd and 3rd year. I taught Ancient and Modern Indian history there.I have taught in another school in Mohali,Punjab teaching students from classes 9-12.Presently I am working as an online tutor with concept tutors,Bangalore,India(Carve Niche Pvt.Ltd.) for the last 1year and also have been appointed as an online history tutor by Course Hero(California,U.S) and Vidyalai.com(Chennai,India).
4.00+
2+ Reviews
10+ Question Solved
Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Question Posted:
Students also viewed these Mathematics questions
-
Show that lim((cos x)2n) exists for all x R. What is its limit?
-
Suppose f(x) exists for all x in (a,b). Mark all true items with a check. There may be more than one correct answer. A. f(x) is continuous on (a,b). B. f(x) is continuous at x=a. C. f(x) is defined...
-
There exists a function f such that f (1) = 2, f(3) = 0, and f(x) > 1 for all x.
-
Montage Pty Limited (Montage) is a resident private company and is not a base rate entity. Which of the following transactions would result in a debit entry to Montage's franking account? Payment of...
-
(a) Susan Leung is uncertain about how to determine the cost of property, plant, and equipment. Explain this for her. (b) Susan is also wondering what an asset retirement cost is and how that affects...
-
A cylinder has a diameter of 15 cm (Fig. 9.37). The water level in the cylinder is maintained at a constant height of 0.45 m. If the diameter of the spout pipe is 0.50 cm, how high is h, the vertical...
-
Guatemalan Imports is the only company with reliable sources for its imported gifts. The company does a brisk business with specialty stores such as Pier 1 Imports. Guatemalan Imports' recent success...
-
The SEC Form 10-K on NIKE is reproduced in Appendix C. REQUIRED: Review the NIKE SEC Form 10-K, answer the following question: a. What percentage of total assets do property, plant, and equipment and...
-
As a health information management (HIM) coding manager, develop strategies for improving both coding accuracy and coding productivity and explain how coding managers use these strategies. Please...
-
1) Assume that you are employed by the company. What recommendations would you make to the management team of the company? 2) Prepare the revised cash budget for the quarter ending March 31, 2021...
-
Use the following definitions. Assume f exists for all x near a with x > a. We say the limit of f(x) as x approaches a from the right of a is L and write , if for any > 0 there exists > 0 such that...
-
Use the following definitions. Assume f exists for all x near a with x > a. We say the limit of f(x) as x approaches a from the right of a is L and write , if for any > 0 there exists > 0 such that...
-
The following are summary financial data for Parker Enterprises, Inc., and Boulder, Inc., for three recent years: 1. Using the above data, compute the accounts receivable turnover and average...
-
A pencil is set spinning in an upright position. How fast must the spin be for the pencil to remain in the upright position? Assume that the pencil is a uniform cylinder of length a and diameter b....
-
14. ABC Technology makes tablet computers which it sells for 52 per unit. The company is currently planning for the production and marketing of the product. To meet this purpose, the cost accountant...
-
register AX contains the data 35AB H. In the Intel 8086 microprocessor, suppose the What will be the contents of AX after executing the following programs? Assume that the initial content on the...
-
At the beginning of April, Winslow Toy Company budgeted 10,000 toy action figures to be manufactured in April at standard direct materials and direct labor costs as follows: Direct materials Direct...
-
Which clause must be included in MySQL 8.0? a. NOT DETERMINISTIC b. NO SQL C. d. CONTAINS SQL all of the above e. none of above
-
Solve the given nonhomogeneous linear ODE by variation of parameters or undetermined coefficients. Show the details of your work. y" + 9y = csc 3x
-
Assume you are the accountant for Catalina Industries. John Catalina, the owner of the company, is in a hurry to receive the financial statements for the year ended December 31, 20X1, and asks you...
-
Find the limit. Use 1Hospitals Rule where appropriate. If there is a more elementary method, consider using it. If 1Hospitals Rule doesnt apply, explain why. tanh x lim x 0 tan r
-
Find the limit. Use 1Hospitals Rule where appropriate. If there is a more elementary method, consider using it. If 1Hospitals Rule doesnt apply, explain why. x - sin x lim x-0 x - tan x
-
Find the limit. Use 1Hospitals Rule where appropriate. If there is a more elementary method, consider using it. If 1Hospitals Rule doesnt apply, explain why. sinx lim
-
You need to either criticize or defend the philosopher's position. Do not do both. So, if you choose Kant, deductive argument that either criticizes or defends Kant's understanding of deontological...
-
What are the molecular determinants underlying hormone-receptor specificity and selectivity, and how do structural insights into hormone-receptor complexes inform the development of targeted...
-
The fixed budget for 20,000 units of production shows sales of $400,000; variable costs of $80,000; and fixed costs of $150,000. QS 21-3 (Static) Flexible budget income calculation LO P1 If the...
Study smarter with the SolutionInn App