I'm having trouble solving this limit:
$\lim_{x \to -2^-} \frac{1}{(x + 2)^2}$
I can't find a way to rationalize the denominator. Also, is there a way to do it without plugging in -2.001 and stuff or graphing it?
EDIT:
I realized after asking this question that it doesn't matter if you take the above limit from the right, left, or both. It's always $+\infty$. Here's an equation that gives $+\infty$ from the right and $-\infty$ from the left: $\lim_{x \to 3^+} \frac{x - 4}{x - 3}$
How do I (algebraically) determine if it is positive or negative?