Dikshita posted an Question
July 17, 2020 • 23:31 pm 10 points
  • IIT JAM
  • Mathematics (MA)

Why does vn=(-1)^n diverge ?

Question : why does Vn=(-1)^n diverge ???? Answer : ???

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    Deepak singh 1 Best Answer

    this sequence is neither convergent nor divergent . it is oscillating sequence . see attached

    cropped171520281.jpg
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    since it's value lies between in [-1,1] , so it is bounded

  • Kiran goswami best-answer

    sequence is not divergent it is an oscillating sequence.

  • Srinath

    Because it has two subsequences which converge to different limits. For a sequence to be convergent, all of its subsequences has to converge to the same limit, the one towards which the sequence converges to.

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    thank you

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