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Vijay posted an Question
April 01, 2021 • 12:24 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Please send the solution to the problem given in the attachment.

please send the solution to the problem given in the attachment.

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    Deepak singh 1 Best Answer

    Refer attached

    cropped7340358788722227039.jpg
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    is it possible to find the lub & glb?

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    yes..since this sequence is convergent , so we can find its lub&glb..

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    but we can't say it converges unless we show the sequence is monotonic.

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    I found that the sequence is not monotonic so now can I say it's not possible to find lub and glb?

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    see here this sequence is not monotonic , and have inf and sup

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    if sequence is convergent , then we can found inf and sup always. .

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    can we find inf and sup if the sequence is not convergent?

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    we can find inf and sup even if sequence is not convergent . Take sequence (-1)^n

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