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Thread: problem| calculating the limit of sequences

  1. #1
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    problem| calculating the limit of sequences

    Hi

    I have a problem with this excercise:

    a>b>0
    And I need to prove that An and Bn converge, and to calculate their limit.

    Now, I proved that they converge, and that their limits are equal, but I can't find their limit..

    Any ideas?
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  2. #2
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    Quote Originally Posted by assaf127 View Post
    a>b>0
    And I need to prove that An and Bn converge, and to calculate their limit.
    Now, I proved that they converge, and that their limits are equal, but I can't find their limit.
    Show that: a>a_1>a_2>\cdots>a_n>b_n>b_{n-1}>\cdots>\>b_1>b
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  3. #3
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    I already did this, it just helps to prove that the sequences converge, and that their limit is the same, but it's not helping for finding out the limit.
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