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Math Help - convergence question..

  1. #1
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    convergence question..

    prove or desprove that if An->1


    then An+1/An ->1


    ??
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by transgalactic View Post
    prove or desprove that if An->1


    then An+1/An ->1


    ??
    We know that if p_n\to{p} and a_n\to{q}\ne{0} then \lim\frac{p_n}{q_n}=\frac{p}{q}

    So in your case since \lim A_n=\lim A_{n+1}=1 then \lim\frac{A_{n+1}}{A_n}=1
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