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Vijay posted an Question
August 13, 2020 • 15:58 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Why epsilon is 1/2? why n>=n(here, n is a natural number)?

why epsilon is 1/2? why n>=N(here, N is a natural number)?

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    Deepak singh 1

    we take epsilon such that , that epsilon can dispoove the given statement

  • Anuj s.

    €>0 (i.e any positive no. (it is not compulsory that € is fixed , we choose € according to our requirement ) (as you seen in various theorem or concept of limit point) n is natural no. means nth term (of an) and n is natural no. eg. we can't choose a(.05)

  • Shashi ranjan sinha

    here epsilon equals to 1/2 has been taken...but if you choose any positive value of epsilon less than 1, it will work

  • Shashi ranjan sinha best-answer

    epsilon is taken upto our choice.... if we have to disprove something, then in that case we take such epsilon value that helps us in disproving it....but in case of proving something, we work with arbitrary epsilon

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