Prafull Kumar Mehta posted an Question
August 11, 2020 • 02:36 am 30 points
  • IIT JAM
  • Mathematics (MA)

Q.40 let s =+ n,m e n. then which of the following statement(s) is(are) true? (a) s is closed (b) s is not open (c) s is connected (d) 0 is a limit point of s

Q.40 Let S =+ n,m e N. Then which of the following statement(s) is(are) TRUE? (A) S is closed (B) S is not open (C) S is connected (D) 0 is a limit point of S

3 Answer(s) Answer Now
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    Deepak singh 1 best-answer

    see attached

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    option d and b

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    any doubt then ask

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    writing not clear.

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    limit point of S contains 0 but 0 does not belong to S that's why S is not closed

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    it is not open because if you take any epsilon neighborhood in S does not contain in S , that's why it is not open

  • Anonymous User best-answer

    option b and d are correct.

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    But you know a set is closed if it contains all of it's limit point.

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