(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Use special comparison test to find if [tex]\frac{2+(-1)^n}{n^2+7}[/tex] is convergent or divergent.

2. Relevant equations

Special comparison test using the convergent series [tex]\frac{1}{n^2}[/tex]

and taking the limit as n-> infinity of my initial series [tex]\frac{2+(-1)^n}{n^2+7}[/tex] divided by my comparison series [tex]\frac{1}{n^2}[/tex]

which comes out to be lim n--> infinity of [tex]\frac{2n^2+(-1)^n(n^2)}{n^2+7}[/tex].

3. The attempt at a solution

I guess I need help evaluating that limit because what I'm getting is undefined (alternating) and the back of the book says that it's defined.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Testing a series for convergence/divergence

**Physics Forums | Science Articles, Homework Help, Discussion**