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Vijay posted an Question
October 14, 2021 • 21:16 pm 30 points
  • IIT JAM
  • Mathematics (MA)

2mcq. please send the solution to the problem given in the attachment.

2 Answer(s) Answer Now
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    Arpan pal Best Answer

    option b is correct . since liman^2=0.Let £>0, there exists an integer k such that |an^2-0|<£ i.e.,|an|^2<£ i.e.,|an|<√£ i.e.,liman=p

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    Deepak singh 1 best-answer

    Refer attachment

    cropped6289052138166740635.jpg
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    is this also a correct method?

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    no, this method is not correct because we don't know whether lim an exist or not .

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    but lim of an squared was defined

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    take an ={1/n} and bn={n} Then limit an.bn= 1 . Here lim(an.bn ) exist but lim(bn) not

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    yes , in case of bn=an ( or an^2) , your method is also correct .

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