Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. contradiction proof conception prove: if a is true

Contradiction proof conception Prove: If A is true, then B is true Contradiction: If A is true,...

90.2K

Verified Solution

Question

Advance Math

Contradiction proof conception

Prove: If A is true, then B is true

Contradiction: If A is true, then B is false.

so we suppose B is false and follow the step to prove. At theend we get if A is true then B is true so contradict ourassumption

However,

Theorem: Let (xn) be a sequence in R. Let L∈R. If everysubsequence of (xn) has a further subsequence that converges to L,then (xn) converges to L.

Proof:  Assume, for contradiction, that (xn) doesn'tconverge to L

**my question is that at the end we will get no subsequence of(Xnk) converges to L (Xnk is a subsequence of Xn)****

why this is contradiction? This only shows theContrapositive side of the theorem

Answer & Explanation Solved by verified expert
3.7 Ratings (343 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: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

1. Find all the values of x such that the given series would converge. ??n=1 (3x)^n/n^11 The series...

Basic Math
Q

Getting Medicine to Bosnia: Acceptable Bribery? As chief legal officer in a well-respected company making lifesaving...

Operations Management
Q

. A prestressed road bridge of span 16 + 0.01 (35× 2) m consists of a...

Civil Engineering
Q

16 Describe the competitive exclusion principle and its effects on competing species

Biology
Q

Which of the following contribute to scientific knowledge by recording treatment and response information in...

Biology
Q

logists found the population of two invasive fish species in a large lake was changing...

Basic Math
Q

Aiden earned 675 from mowing lawns last summer He deposited this money in an account...

Algebra
Q

13 Min has 590 000 in an annuity that pays 4 4 per year compounded...

Algebra
Q

3 1 pt Suppose a bag contains equal numbers of red marbles and red cubes...

Algebra
Q

If a corporation makes a pro-rata cash distribution that exceeds both current and accumulated E&P...

Accounting
Q

Pete's Patriotic Flags: Part 2 CCOUNTING...

Accounting
Q

10. (2pts ea) Express each Apothecaries measurement using abbreviations and symbols. a. one hundred ninety-one...

Accounting