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Limit question

  1. Oct 20, 2007 #1
    [SOLVED] limit question

    i added a file with the question and how i tried to find the legality between the
    objects of the series

    lim [1/(1*2) + 1/(2*3) + 1/(3*4) + ... + 1/(n*(n+1))]
    n>>infinity


    i cant find the total sum of all the objects in the series

    if i would get the total sum of all the objects
    i can get the limit

    i could add the first numbers and to make an estimation about the limit
    but how i solve it in equetions??
     

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    Last edited: Oct 20, 2007
  2. jcsd
  3. Oct 20, 2007 #2

    TD

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    Homework Helper

    Does this help?

    [tex]\frac{1}{{n\left( {n + 1} \right)}} = \frac{1}{n} - \frac{1}{{n + 1}}[/tex]
     
  4. Oct 20, 2007 #3
    i got

    lim 1- [1/(n-1)] =1
    n>>infinity


    thanks
     
    Last edited: Oct 20, 2007
  5. Oct 20, 2007 #4

    TD

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    The limit is indeed 1.
     
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