1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    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
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?