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

Geometry
1.2K views

PROVING A THEOREM Use the diagram to prove the Triangle Midsegment Theorem for midsegment DF...

Statistics
1.2K views

Are births really evenly distributed across the days of a week? Here are data on 700...

Economics
1.2K views

Two countries, Spain and Portugal, use two inputs, capital and labor, to produce two goods, wine...

Programming
1.2K views

You have been accepted as a Junior Project Manager at Super IT Pty. Ltd. Your first...

Biology
1.2K views

A kangaroo is a diploid animal that has 8 homologous pairs of chromosomes in atypical...

Biology
1.2K views

Christiana is composing several letters. Who would sign each of the following letters?A letter to...

Calculus
1.2K views

Gabriel coordinates games for a youth soccer league After Gabriel has figured out which teams...

Algebra
1.2K views

Practice Saad savonbrident ic Find the area of each composite figure Example 1 941 of...

Algebra
1.2K views

Question 5 Choose the correct translation of the following int 40 cubic centimeters less than...

Accounting
1.2K views

Provide an example of who would use financial accounting.

Accounting
1.2K views

Assuming a 360-day year, the interest charged by the bank, at the rate of 12%,...

Accounting
1.2K views

Quest has 10,000 shares of \$1 par value stock outstanding. On December 31, Quest declared...