Time management is very much important in IIT JAM. The eduncle test series for IIT JAM Mathematical Statistics helped me a lot in this portion. I am very thankful to the test series I bought from eduncle.
Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
Prerna Chaudhary posted an Question
September 10, 2021 • 18:11 pm
![]()
30 points
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 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
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
Sign Up to Download FREE Study Material Worth Rs. 500/-
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