Show that f (x) is a discontinuous function for all x where f (x) is defined as
Question:
Show that f (x)2 is continuous for all x.
Transcribed Image Text:
1 for x rational f(x)=I-1 for x irrational
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 83% (12 reviews)
f x does not exist for any c If c is irrational then there is always a ...View the full answer
Answered By
Mwangi Clement
I am a tried and tested custom essay writer with over five years of excellent essay writing. In my years as a custom essay writer, I have completed more than 2,000 custom essays in a diverse set of subjects. When you order essays from me, you are working with one of the best paper writers on the web. One of the most common questions I get from customers is: “can you write my essay?” Upon hearing that request, my goal is to provide the best essays and overall essay help available on the web. I have worked on papers in subjects such as Nursing and Healthcare, English Literature, Sociology, Philosophy, Psychology, Education, Religious Studies, Business, Biological Sciences, Communications and Media, Physical Sciences, Marketing and many others. In these fields, my specialties lie in crafting professional standard custom writings. These include, but are not limited to: research papers, coursework, assignments, term papers, capstone papers, reviews, summaries, critiques, proofreading and editing, and any other college essays.
My extensive custom writings experience has equipped me with a set of skills, research abilities and a broad knowledge base that allows me to navigate diverse paper requirements while keeping my promise of quality. Furthermore, I have also garnered excellent mastery of paper formatting, grammar, and other relevant elements. When a customer asks me to write their essay, I will do my best to provide the best essay writing service possible. I have satisfactorily offered my essay writing services for High School, Diploma, Bachelors, Masters and Ph.D. clients.
I believe quality, affordability, flexibility, and punctuality are the principal reasons as to why I have risen among the best writers on this platform. I deliver 100% original papers that pass all plagiarism check tests (Turnitin, Copyscape, etc.). My rates for all papers are relatively affordable to ensure my clients get quality essay writing services at reasonable prices.
4.50+
5+ Reviews
14+ Question Solved
Related Book For
Question Posted:
Students also viewed these Calculus questions
-
Graph and discuss the continuity of the function (a) Show that f (x, y) 0 as (x, y) (0, 0) along any path through (0, 0) of the form y = mx a with 0 < a < 4. (b) Despite part (a), show that f is...
-
Let f : R R and let f (x) > 0 for all x R. Show that f (x) is strictly decreasing if and only if the function g(x) = 1/f (x) is strictly increasing.
-
Show that f (x) is (g(x)) if and only if f (x) is O(g(x))and g(x) is O(f (x)).
-
Consider a low-pass signal with a bandwidth of 3 kHz. A linear delta modulation system, with step size = 0.1V, is used to process this signal at a sampling rate ten times the Nyquist rate. (a)...
-
What is the role for process costing in a Just-in- Time (JIT) production environment, where working-process inventories are negligible? For example, at any given point in time a JIT plant might only...
-
An automobile with a mass of 1600 kg has a speed of 30.0 m/s. What is its kinetic energy?
-
A certain underlying state graph is a tree where each node has three successor nodes, indexed \(a,b, c\). There are two assets defined on this tree which pay no dividends except at the terminal time...
-
A commercial fisherman notices the following relationship between hours spent fishing and the quantity of fish caught: Hours Quantity of Fish (in pounds) 0 hours ......0 lb 1.........10 2.........18...
-
Why do some manufacturing companies offer extended warranties to their customers if they must record a liability on their Balance Sheet for these warranties?
-
Geller and Patel CPAs (G&P) is a two-partner firm based in Edmonton. Jack, the audit partner at G&P, has been approached by Wen, a trustee of a local charity. Wen would like Jack to perform...
-
Give an example of functions f (x) and g(x) such that f (g(x)) is continuous but g(x) has at least one discontinuity.
-
Let f (x) = 5x2. Show that f (3 + h) = 5h2 + 30h + 45. Then show that and compute f '(3) by taking the limit as h 0. f3+h) f(3)+30
-
Steve is the director of operations for Diamond Chemical Company. The company is considering whether to launch a new product line, which will require building a new facility. The research required to...
-
Dunkin Brands Group, Inc. operates under the Dunkin Donuts and Baskin-Robbins brands worldwide and has over 13,000 Dunkin Donuts and over 8,100 Baskin-Robbins restaurants. Using financial websites...
-
In the 1970s, our economy suffered from ______. a) inflation but not stagnation b) stagnation but not inflation c) inflation and stagnation d) neither inflation nor stagnation
-
A hospital pharmacy received ampules of a commonly stocked drug contained in a pink solution. Previously the drug had always been in a clear solution. The pharmacist dispensed the drug for IV...
-
The government of France has just made what on the face of it appears to be a nonannouncement announcement: It will not include illegal drugs and prostitution in its official calculation of the...
-
We would not need to economize if _____. a) the government printed more money b) there was no scarcity c) there was less output of goods and services d) everyone received a big pay increase
-
The following are two independent situations. 1 . Gambino Cosmetics acquired 10% of the 200,000 shares of common stock of Nevins Fashion at a total cost of $13 per share on March 18, 2022. On June...
-
a) Calculate the goodwill that was paid by Major Ltd on the acquisition of Minor Ltd. [10 marks] b) Prepare the consolidated statement of financial position for Major Ltd at 31 July 20X8. [30 marks]...
-
Suppose M(t) = 43.2e5.1t and S(t) = 18.2e4.3t. Find the slope and intercept of ln(M(t)) as a function of in(S(t)). Find the equations of the lines after transforming the variables to create semi log...
-
Suppose L(t) = 0.72e-2.34t and K(t) = 4.23e0.91t. Find the slope and intercept of ln(L(t)) as a function of ln(K(t)). Find the equations of the lines after transforming the variables to create...
-
A population follows the discrete-time dynamical system bt+1 = rbt with r = 1.5 and b0 = 1.0 x 106. When will the population reach 1.0 x 107?
-
Evaluate the following limits. 3. lim f(x) if f(x) = 3 5x 2x, if x 1 4 (5 points) -3 1 + - 4x, if x < 1 x3 1 X - 1
-
Here are the height of 50 students who participated in a statistics survey: 242 23 34 60 45 66 77 23 34 45 674 54 52 54 65 76 89 89 76 56 76 34 43 33 47 56 58 266 16600 42 15 67 45 76 56 34 39 92 72...
-
Show that if f: [a, b] R is differentiable on (a, b) and f 0, then c = (a, b) such that f'(c) f(c) = + a-c 1 b-c Hint: Consider the function h(x) = f(x)(x - a)(x - b).
Study smarter with the SolutionInn App