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Math Help - Convergence

  1. #1
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    Convergence

    Does the sequence  c_n= \frac {sin(n) +2log(n)} {cos(n) + log(n)} converge?
    Any hints? Do I use L'Hopital, the squeeze rule?
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  2. #2
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    First show that \frac{2\ln(n)-1}{\ln(n)-1}\le c_n \le\frac{1+2\ln(n)}{1+\ln(n)}, then use L'Hopital.
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