Show that is a discontinuous function for all x, where (x) is defined as follows: Show
Question:
Show that ƒ is a discontinuous function for all x, where ƒ(x) is defined as follows:
Show that ƒ2 is continuous for all x.
Transcribed Image Text:
f(x) = 1 -1 for x rational for x irrational
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (3 reviews)
XC lim fx does not exist for any c If c is irrational then there is a...View the full answer
Answered By
Vincent Omondi
I am an extremely self-motivated person who firmly believes in his abilities. With high sensitivity to task and operating parameters, deadlines and keen on instructions, I deliver the best quality work for my clients. I handle tasks ranging from assignments to projects.
4.90+
109+ Reviews
314+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Show that f (x) is a discontinuous function for all x where f (x) is defined as follows: Show that f (x)2 is continuous for all x. 1 for x rational f(x)=I-1 for x irrational
-
In annual report, WRM Athletic Supply, Inc. includes the following five-year financial summary: Analyze the companys financial summary for the fiscal years 2016-2020 to decide whether to invest in...
-
A simply supported reinforced concrete beam with a cantilever shown in Figure 2 (1= 5 m, 1-1 m, X =1.5 m) carries the following loads: Its own weight; w= 10kN/m; wp=15 kN/m; Qo=25 kN, and Q = 16 kN....
-
The technique of performance management that establishes and monitors four dimensions of performance: Question 11Answer a. Profit, sales, productivity, and asset management performance b. Financial,...
-
Jenkins Supply Corporation sells $120 million of its products to wholesalers on terms of net 50. Currently, the firms average collection period is 65 days. In order to speed up the collection of...
-
Consider that textbooks and cookbooks are both objects belonging to the class of Book. Please give an example of a class and its objects.
-
In 1951, DuPont began using the chemical perfluorooctanoic acid to manufacture Teflon. Due to the dangerous nature of the chemical, DuPont was given special instructions by its supplier to dispose of...
-
The Ortega Food Company needs to ship 100 cases of hot tamales from its warehouse in San Diego to a distributor in New York City at minimum cost. The costs associated with shipping 100 cases between...
-
Explain how the Pakistan crisis will affect the following companies: a) MEIR Commodities India Pvt. Ltd., an agri commodity trading house exporting sugar, molasses, organics, etc. b) Honda, Toyota,...
-
If has a removable discontinuity at x = c, then it is possible to redefine (c) so that is continuous at x = c. Can this be done in more than one way?
-
Show that the following function is continuous only at x = 0: f(x) = -x for x rational for x irrational
-
A cross-flow heat exchanger consists of 80 thin walled tubes of 3-cm diameter located in a duct of 1 m 1 m cross section. There are no fins attached to the tubes. Cold water (c p = 4180 J/kg K)...
-
Write a program to calculate Body Mass Index (BMI) given a person's height and weight. Use previousassignments and demo programs as models. Create a new project called03.05Body Mass Index in your...
-
A retired couple invested $ 1 2 0 0 0 in bonds at a simple interest rate of 8 % . At the end of one year, how much interest did they receive on their investment?
-
Identify and explain the significance of chicanos creating a homeland in the american southwest in the late 1 9 6 0 s
-
American Baptist Home Mission Societies partners with American Baptists to promote Christian faith, cultivate Christ-centered leaders and disciples, and bring healing and transformation to...
-
An economy depends on two commodities, bees and honey. It takes 3 4 units of bees to produce 1 unit of honey and 1 2 unit of honey to produce 1 unit of bees. Find the production required to satisfy a...
-
On October 31, 2015, Damon Companys general ledger shows a checking account balance of $8,397. The companys cash receipts for the month total $74,320, of which $71,295 has been deposited in the bank....
-
Imagine that your best friend knows you are taking a psychology course and wonders what psychology is all about. How would you define psychology for your friend? Write an essay on the discipline of...
-
Two cars start moving from the same point. One travels south at 60 mi/h and the other travels west at 25 mi/h. At what rate is the distance between the cars increasing two hours later?
-
A man starts walking north at 4 ft/s from a point P. Five minutes later a woman starts walking south at 5 ft/s from a point 500 ft due east of P. At what rate are the people moving apart 15 min after...
-
The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm2/min. At what rate is the base of the triangle changing when the altitude...
-
Today, you sold 300 shares of SLG stock and realized a total return of 12.5 percent. You purchased the shares one year ago at a price of $27.43 a share. You have received a total of $192 in...
-
Benefits and limitations of a 'Securitization', explaining is details the strategic implications of risk management associated with it.
-
Please help me solve all a, b, c, d Your firm spends $468,000 per year in regular maintenance of its equipment. Due to the economic downturn, the firm considers forgoing these maintenance expenses...
Study smarter with the SolutionInn App