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Homework Help: Convergence Test Problem

  1. Dec 16, 2006 #1
    1. The problem statement, all variables and given/known data
    Determine whether the series converges:
    1/(sqrt(k+5))


    2. Relevant equations
    well i think i'm supposed to use the integral test, which has you take the integral of the series and the limit too..


    3. The attempt at a solution
    .. i'm just not sure how to begin, for some reason i'm completely BLANKING on how to take limits.. i know that the series diverges, but i dont know how to actually get that answer.
     
  2. jcsd
  3. Dec 16, 2006 #2

    quasar987

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    There is also that for all k, [tex]\frac{1}{\sqrt(k+5)}>\frac{1}{k+5}[/tex] and [tex]\sum \frac{1}{k+5}[/tex] is essentially the harmonic series. :uhh:

    But I don't understand why you say you don't know where to begin while just before you were suggesting the use of the integral test.. :confused:
     
    Last edited: Dec 16, 2006
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