Ashwini posted an Question
July 21, 2020 • 02:52 am 30 points
  • IIT JAM
  • Mathematics (MA)

If the n term of the alternating series are around pairwise 3412+1 24+1 23 22 2 then the sum of series is ****** *** ** **

If the n term of the alternating series are around pairwise 3412+1 24+1 23 22 2 Then the SUM OF SERIES is ****** *** ** **

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  • comment-profile-img>
    Deepak singh 1

    by Leibniz test, this series is not convergent..as lim An does not tends to zero..

    cropped7565114626976405217.jpg
  • comment-profile-img>
    Arzoo

    See the attachment

    cropped6086914274245165046.jpg
    eduncle-logo-app

    maam given series is conditionally convergent, so we can get any desired sum, but in this question there is written that we have to take pairwise.

    eduncle-logo-app

    and u have break that pair

    eduncle-logo-app

    Given series is not even conditionally convergent.

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    To ask its sum is mathematically wrong.

    eduncle-logo-app

    yeah, you are right it is not convergent, thank u

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    👍

    eduncle-logo-app

    i think u have mistakly written ( - )sign in 4th step..

    eduncle-logo-app

    yeah... I hope Ashwini will make this correction easily.

  • comment-profile-img>
    Chandra prakash best-answer

    see attached file it's very helpful for you dear

    cropped827579521.jpg
    eduncle-logo-app

    first of all u should generalised and after u solve it... best regards

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