Chakravarthi g s Asked a Question
July 25, 2020 8:07 pmpts 30 pts
Example 1. O is the only limit point of the set s-1 111 1 "2'3'4
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  • Deepak singh Best Answer
    see attached
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    Deepak singh
    in every € epsilon neighborhood , there exist at least one element of S and 0 does not belongs to S , so 0 is limit point
  • Shashi ranjan sinha thankyou
    see the attachment
    • cropped1565723424708231663.jpg
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    Shashi ranjan sinha
    see this also
    • cropped7871439230041274848.jpg
    • cropped1644909217020630043.jpg
  • Arzoo thankyou
    See the attachment
    • cropped4908181463758260787.jpg
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  • Vaishali sharma
    yes dear 0 is limiting point for the set. when we increase n then of course terms of set will go to 0
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  • Deepak singh
    0 is satisfying the property of limit point..
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  • Deepak singh
    another proof is - since it is positive sequence and also decreasing sequence so 0 is it's infimum , so convergent to 0
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  • Vishal goswami
    yes 0 is a limit point of the set. when n increased then terms of set S going closer to 0.
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