Dharmasam Vardhini posted an Question
October 12, 2020 • 18:00 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Explanation

In 5th example why it is unbounded ??? We know the lower bound 1/2 Why the sequence was not bounded below ???

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  • Shashi ranjan sinha best-answer

    see the attachment

    cropped466153527408263812.jpg
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    Sir I am not able to understand that much. Can you explain it again ???

    eduncle-logo-app

    by the obtained inequality, it follows that each nth term of the sequence {n+1} is less than the nth term of the sequence {n²/n+1}. but the sequence {n+1} is unbounded , so the sequence whose each term is greater than that of {n+1} is also unbounded. So, {n²/n+1} is unbounded

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