profile-img
Prerna Chaudhary posted an Question
September 10, 2021 • 12:41 pm 30 points
  • IIT JAM
  • Mathematics (MA)

( r rrrrrrrrrrrr

please explain............. given sets are closed set or not............

1 Answer(s) Answer Now
  • 0 Likes
  • 2 Comments
  • 0 Shares
  • Anonymous User

    1. set of all limit point of S is null set . i.e. D(S)= fi. S'= S U fi =S so S is closed

  • Anonymous User Best Answer

    1. S={x€R; sinx=0} is closed because sinx is continues function from R to [-1,1] and {0 } is closed in [-1,1]. so inverse image of {sin–(0)}=S is closed. {if f is continus function then invrse image of closed set is closed} 2. S={x€R; sin(1/x)=0} is not closed because sin(1/x) is not continues function at x=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