Thanu Dharshani posted an Question
October 14, 2021 • 16:28 pm 30 points
  • IIT JAM
  • Mathematics (MA)

5.10. some important sequences. the sequence {(1+)"} is a monotone increasing sequence, bounded above.

how to prove its monotonicity???????????????????????????????

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  • Abhishek tripathi 1 best-answer

    see....

    cropped1693130834831758915.jpg
    cropped3452186578255330251.jpg
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    according to which less than symbol coming....

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    yes absolutely right, but while checking for monotone we need to compare with 0 , i.e. we need the term Sn+1-Sn less than 0 or greater than 0 so that we can say about nature of sequence i.e. monotone increasing or Monotone decreasing, and by this method we don't get inequality with 0 so we are getting nothing by doing this, so I use required inequality

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