Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. 1) there is a continuous function from [1, 4] to r

1) There is a continuous function from [1, 4] to R that is not uniformly continuous....

70.2K

Verified Solution

Question

Advance Math

1) There is a continuous function from [1, 4] to R that is notuniformly continuous. True or False and justify your answer.

2) Suppose f : D : ?R be a function that satisfies the followingcondition: There exists a real number C ? 0 such that |f(u) ? f(v)|? C|u ? v| for all u, v ? D. Prove that f is uniformly continuouson D

Definition of uniformly continuous: A function f: D?R is calleduniformly continuous iff for all sequences {an} and{bn} in D if (an) - (bn)? 0 thenf(an) - f(bn)? 0

Answer & Explanation Solved by verified expert
4.0 Ratings (414 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

In an auditorium with 500 people one person will be chosen to win a 100...

Basic Math
Q

explain how does racial discrimination in the workplace by them the employee them salves and what...

Psychology
Q

Base your answers to questions 11 and 12 on the data table below which shows...

Biology
Q

20 180 A combination of parallel plate capacitors is maintained at a certain potential difference...

Physics
Q

the vertices are K 6 6 K 6 3 K 0 3 K 3 6...

Geometry
Q

Add the polynomials 5x 7x 9x 4x 12x 6x 12x

Basic Math
Q

Suppose a self-employed person has a Keogh plan. Discuss what would happen in each of...

Accounting
Q

Pepper Department Store allocates its service department expenses to its various operating (sales) departments. The...

Accounting
Q

Q1. Draw the flow chart for the following - manual based (NOTE: add files, data...

Accounting
Q

In 2015, Kipp invested $65,000 for a 30% interest in a partnership conducting a passive...

Accounting
Q

'Corporate management could misstate operating activities and external users would be unable to readily discern...

Accounting
Q

DIscount rate is 9% (Discounted payback period) Sheinhardt Wig Company is considering a project...

Finance