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Math Help - Sequence question

  1. #1
    Junior Member
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    Question Sequence question

    Given the sequence (Un) defined by Un=(2n-3)/(n+3) for any natural number n
    show that Un<2 for any natural number n , knowing that (Un) is strictly increasing
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  2. #2
    MHF Contributor

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    Re: Sequence question

    It's pretty close to trivial isn't it? For what n is \frac{2n- 3}{n+1}\le 2 true? Just solve that inequality.
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