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Series question

  1. Jul 10, 2009 #1
    1. The problem statement, all variables and given/known data
    Check if the following series is convergent.
    [tex]
    \sum^{\infty}_{i=1}l n(cos(\frac{1}{n}))
    [/tex]


    I have tried a lot of different tests without success.
    I need some hint.

    Thanks



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jul 10, 2009 #2

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    Hi TTob! :smile:

    Hint: this is ln of a product
     
  4. Jul 10, 2009 #3
    Tayor's Theorem
     
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