Convergence Test for 1/(sqrt(k+5)) - How to Determine Series Convergence?

[raincheck]

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 don't know how to actually get that answer.

 

[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.

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..