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Math Help - Doubts about sequence

  1. #1
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    Doubts about sequence

    1) What is the supreme of sequence ?

    2) What is the undermost of sequence ?
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  2. #2
    Super Member redsoxfan325's Avatar
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    Quote Originally Posted by Apprentice123 View Post
    1) What is the supreme of sequence ?

    2) What is the undermost of sequence ?
    The supremum is the least upper bound. In other words, it is the smallest number greater than or equal to all elements of the sequence.

    The infimum is the greatest lower bound. In other words, it is the largest number less than or equal to all elements of the sequence.

    I've never heard the term undermost used before.

    Is that what you were looking for?
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  3. #3
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    Quote Originally Posted by redsoxfan325 View Post
    The supremum is the least upper bound. In other words, it is the smallest number greater than or equal to all elements of the sequence.

    The infimum is the greatest lower bound. In other words, it is the largest number less than or equal to all elements of the sequence.

    I've never heard the term undermost used before.

    Is that what you were looking for?
    Yes. thank you
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