# Homework Help: Convergence Test Problem

1. Dec 16, 2006

### raincheck

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. Dec 16, 2006

### quasar987

There is also that for all k, $$\frac{1}{\sqrt(k+5)}>\frac{1}{k+5}$$ and $$\sum \frac{1}{k+5}$$ 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..

Last edited: Dec 16, 2006