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Vijay posted an Question
May 19, 2022 • 00:07 am 30 points
  • CSIR NET
  • Mathematical Sciences

34, which of the following is/are true for the set a ,nen, n23 (a) sup a = 1 (b) inf a = 1 (c) sup a 3 d) inf a =

34, Which of the following is/are true for the set A ,neN, n23 (A) Sup A = 1 (B) Inf A = 1 (C) Sup A 3 D) Inf A =

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    Kanika goswami 1

    by monotone convergence theorem, as it is monotonic increasing seq and convergent so must converge to its superimum.

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    Kanika goswami 1 best-answer

    This is a monotonic increasing sequence. Hence its sup value is 1 and inf. value is 3rd root of 1/3. option a and d are correct . Check attachment.

    cropped3101296446403959129.jpg
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    how would I show that sup(A) is 1??

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    this is by monotone of convergence theorem. it converged to its superimum value

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    still have any doubt? Vijay

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