# Did i do the reduction correctly? algebra type stuff!

1. Mar 9, 2006

### mr_coffee

Directions:
Find all the values of x such that the given series would converge.

Here is my work:

I got it wrong but is it because i don't know how to do inequalities, or just suck in general?

2. Mar 9, 2006

### topsquark

What happened to the 2?

-Dan

3. Mar 9, 2006

### Jameson

I follow you until this line: $$\lim_{n\rightarrow\infty}\frac{(-x)(n^2+3)}{2n^2+4n+8}$$

and then I don't see what you're doing.

4. Mar 9, 2006

### mr_coffee

Okay from here, i'm using the rule, where u divide by the largest exponent, in this case its n^2, so u divide every term by n^2 and leave the -x alone, then u take as n->infinity. I'm using this website as my guide:

Ooo i don't know where the 2 went lol i will do it again with the 2

5. Mar 9, 2006

### mr_coffee

Sweet it worked once i added the 2 lol.

|-x|/2 < 1

|-x| < 2
-2 < x <2

quick question though. is |-x| == |x|? i just assumed it was, thats how i came out with -2 < x < 2

6. Mar 9, 2006

### Jameson

I was wondering why you didn't just go straight to |x|/2. And yes, I think you're answer is correct.