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Vijay posted an Question
August 28, 2021 • 01:21 am 30 points
  • IIT JAM
  • Mathematics (MA)

Show this is a convergent sequence.

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

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    Arpan pal Best Answer

    See...

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    here in question x0 is given to be positive real no. so if we take x0<√5 then it will become monotonic increasing sequence so for all (+) ve real numbera won't sequence become oscillatory sequence since for x0<√5 its monotonic increasing and for >√5 its monotonic decreasing

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    yes it is monotonically decresing sequence.

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    this is what i was trying to say...

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    I get this as a constant sequence. 😆

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    If the sequence is a constant sequence then this sequence is automatically convergent sequence.

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