Gokul posted an Question
September 29, 2020 • 21:11 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Q:-4 which of the following statement is false: a) let a c r. then a is open if and only if a = a"cinterior set of a) b) every countable set has no limit point.

Q:-4 Which of the following statement is false: a) Let A c R. Then A is open if and only if A = A"Cinterior set of A) b) Every countable set has no limit point. c)Every element of finite set is isolated point. d) Let A cR. Interior point of A is limit point of A Q:-5 Which of the following statement is false: a) Let A c R and A is non-empty bounded above set with supA = s'and s EA. Then s is limit point of A. b) Let A c R and A is non-empty bounded below set with infA = b'and b' EA. Then b' is limit point of A c) Let A c R and A is non-empty bounded above set with supA = s'. Then s' is limit point of A. d) None of these.

1 Answer(s) Answer Now
  • 0 Likes
  • 1 Comments
  • 0 Shares
  • comment-profile-img>
    Piyush pachauri best-answer

    Q4 option B is false Q5 option C is false

    eduncle-logo-app

    can u give an example for isolated points

    eduncle-logo-app

    Take S = {1,2,3} , All points are isolated. For isolated point x, there exists a neighborhood which does not contain any other point other than x.

whatsapp-btn

Do You Want Better RANK in Your Exam?

Start Your Preparations with Eduncle’s FREE Study Material

  • Updated Syllabus, Paper Pattern & Full Exam Details
  • Sample Theory of Most Important Topic
  • Model Test Paper with Detailed Solutions
  • Last 5 Years Question Papers & Answers