# Math Help - Evaluate Limits

1. ## Evaluate Limits

Hello,

Evaluate

$Lim [x^2+2x+1 / x^4 - 1]$
x --> -1

$2x+1 / (x-1)(x^2-1)$

what should I do next?

2. Originally Posted by l flipboi l
Hello,

Evaluate

$Lim [x^2+2x+1 / x^4 - 1]$
x --> -1

$2x+1 / (x-1)(x^2-1)$

what should I do next?
$\lim_{x \to -1}\frac{x^2+2x+1}{x^4-1}$

$\lim_{x \to -1}\frac{(x+1)(x+1)}{(x+1)(x-1)(x^2+1)}
\Rightarrow
\lim_{x \to -1}\frac{(x+1)}{(x-1)(x^2+1)}
\Rightarrow
\frac{0}{-4} = 0$

you can also use L'Hospitals Rule

3. I'm trying to avoid getting 0 in my denominator when I plug in X=-1. Does that mean that the solution "does not exist"?