Prafull Kumar Mehta posted an Question
September 19, 2020 • 02:22 am 30 points
  • IIT JAM
  • Mathematics (MA)

10. prove that the sequence {un defined by (1) u1= v3 and un+1 = v3un for n 1, converges to 3; (ii) u = v6 and unti =v6+un for. 2 1, converges to 3.

10. Prove that the sequence {un defined by (1) u1= v3 and un+1 = V3un for n 1, converges to 3; (ii) u = v6 and unti =v6+un for. 2 1, converges to 3.

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  • Anonymous User best-answer

    In question 10(a) after calculation of terms we get √3√3√3.... easily show that they converges to 3.

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    yes sir

  • Anuj s. Best Answer

    solution i ) by observation and substitute the values

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    any doubt?

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    how to compute in exam, it's look like long calculation

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    you have calculator in examination hall, its take maximum 2-3 minutes

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    or you can compute by un

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    un= √(3(√3(√3(√3.... ))))

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    thank you sir

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