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Shamsun Asked a Question
September 12, 2020 11:58 ampts 30 pts
  • IIT JAM
  • Mathematics (MA)

Let s be a subset of r such that 2018 is an interior point of s. which of the following is (are) true? (a) s contains an interval (b) there is a sequence in s w

Let S be a subset of R such that 2018 is an interior point of S. Which of the following is (are) TRUE? (A) S contains an interval (B) There is a sequence in S which does not converge to 2018 ()There is an element y E S, y * 2018 such that y is also an interior point of S (D) There is a point z E S, such that |z - 2018| = 0.002018
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  • Piyush Best Answer
    PFA
    • cropped7184542671393437110.jpg
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    Piyush
    To discard Option D, I have taken the set of elements which has distance 10^-8 from 2018.
  • Piyush thankyou
    Option A B C are correct.
    Likes(2) Reply(0)
  • Shamsun
    sir plz explain option B
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    Piyush
    For option B , Read the last statement. we have infinitely many elements other than 2018 in the set . take any constant sequence y= s (not equal to 2018).
  • Piyush
    Any doubt then you can ask.
    Likes(1) Reply(1)
    Shamsun
    it clr
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