Dharmasam Vardhini posted an Question
October 15, 2020 • 00:41 am 30 points
  • IIT JAM
  • Mathematics (MA)

Explain these two examples

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  • Srinath best-answer

    The first one is simple. It is obvious that the minimum distance between two integers is 1. Since a(n) and a(m) are at a distance of '1/2', it means that they are the same integers, because distinct integers can't satisfy the condition. [Any € < 1, would set this situation up]... For the second one, there seems to be a printing mistake, |a(n) - a(m)| >= €... This means that, the distance between any terms of the sequence never get close, as n increases, showing that it is not convergent.

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