# Specific Series question.

• Apr 23rd 2010, 11:12 AM
alin1916
Specific Series question.
$\displaystyle Series from 1 of ((x-5)^(1/2)) / (2x^2-2)$

How would you go about solving this? I compared to p series of 1/x^3/2 but idk if that's correct. (Headbang)
• Apr 23rd 2010, 11:28 AM
HallsofIvy
Quote:

Originally Posted by alin1916
$\displaystyle Series from 1 of ((x-5)^(1/2)) / (2x^2-2)$

How would you go about solving this? I compared to p series of 1/x^3/2 but idk if that's correct. (Headbang)

What is the question? To determine if the sum converges?
• Apr 23rd 2010, 11:35 AM
alin1916
Quote:

Originally Posted by HallsofIvy
What is the question? To determine if the sum converges?

Yes, sorry I'm learning how to use this latex system. It's $\displaystyle \Sigma\frac{\sqrt{n-5}}{2n^2-2}$

And yes, to determine if the sum converges or diverges, but I don't have to find the actual sum, just determine convergence.

Thanks!
• Apr 23rd 2010, 11:39 AM
Plato
Compare with $\displaystyle \frac{1}{\sqrt{n^3}}$.
• Apr 23rd 2010, 11:47 AM
alin1916
Quote:

Originally Posted by Plato
Compare with $\displaystyle \frac{1}{\sqrt{n^3}}$.

That converges, I assumed that's Bn and the Original function was An, An>Bn and Bn converges, but it doesn't prove that An converges. Am I missing something?
• Apr 23rd 2010, 01:49 PM
Plato
Use the limit comparison test.