profile-img
Chakravarthi G S posted an Question
July 26, 2020 • 01:37 am 30 points
  • IIT JAM
  • Mathematics (MA)

Elaborate it clearly

Example 1. O is the only limit point of the set s-1 111 1 "2'3'4

3 Answer(s) Answer Now
  • 0 Likes
  • 7 Comments
  • 0 Shares
  • comment-profile-img>
    Deepak singh 1

    another proof is - since it is positive sequence and also decreasing sequence so 0 is it's infimum , so convergent to 0

  • comment-profile-img>
    Dhairya sharma

    yes dear 0 is limiting point for the set. when we increase n then of course terms of set will go to 0

  • comment-profile-img>
    Deepak singh 1 Best Answer

    see attached

    cropped1414745398.jpg
    eduncle-logo-app

    in every € epsilon neighborhood , there exist at least one element of S and 0 does not belongs to S , so 0 is limit point

    eduncle-logo-app

    0 is satisfying the property of limit and limit point also..

  • Kiran goswami

    yes 0 is a limit point of the set. when n increased then terms of set S going closer to 0.

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