Dharmasam Vardhini posted an Question
October 10, 2020 • 06:00 am 30 points
  • IIT JAM
  • Mathematics (MA)

Explanation question 2 (ii)

Here we are just taking 0 only as a limit point. Why we are not taking 1 as a limit point ???

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  • Shashi ranjan sinha best-answer

    the sequence is bounded between 0 and 1 but it's only limit point is 0... 1 isn't limit point of the given sequence because (0.75,1.25) is an open neighborhood of 1 whose intersection with the given sequence doesn't contain any other point except 1....hence, by definition 1 isn't a limit point of the sequence

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