Baishalini posted an Question
May 23, 2021 • 23:58 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Guprumum of ce s u dys& se nt greles meiset of s erist d eest memuet.of s j

guprumum of Ce S u dys& se nt greles meiset of S erist D eest memuet.of S J

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  • Pinku sarkar

    sup(0, 1) =1 but 1 doesn't belongs to (0, 1) so option (1) is incorrect. sup[0, 1]=1 which is greatest number of the set [0, 1]. so option 2) is incorrect. supremum of set of natural number doesn't exist ( if the set is unbounded above the supremum doesn't exist. so option c is incorrect. hence option d is correct

  • Abhishek tripathi 1 best-answer

    ans is d. counter ex for option (a) take a set 1-1/n where n comes from natural no. here supremum of set is 1 and 1 does not belong to the set. counter ex for (c) is take all rational no in (√2,√3),here supremum can be √3 but the set is define over rational and √3 is irrational so supremum does not exist. so d is true

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