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Chakravarthi G S posted an Question
July 27, 2020 • 12:50 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Find the limit points of the set

2 Answer(s) Answer Now
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    Deepak singh 1

    chakravarthi , please Correct the answer , 0 is also limit point of this set.

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    Deepak singh 1 Best Answer

    see attached

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    for every fix m , vary n to infinity we get limits 1/m for each m..

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    I have fixed m , you can fix n and vary m to infinity , same solution will be there

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    sir I think you have a mistake to include 0 in derived set

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    i.e. 0 is a limit pt of the given set

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    how

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    if we varies m & n together

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    use archemidean property for 0<1/n<1 so 0<1/n+1/m<2

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    Yes, zero is also a limit point of this set

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    sorry , zero is also limit point of this set

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    thanks sourav and Sashi for your kind attention..

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