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Convergence Test Problem

  • Thread starter raincheck
  • Start date
  • #1
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Homework Statement


Determine whether the series converges:
1/(sqrt(k+5))


Homework 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..


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.
 

Answers and Replies

  • #2
quasar987
Science Advisor
Homework Helper
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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:

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