Let $f(x) = \frac{x^2 - 4}{x^2 + 3x + 2}$. What is the value of $\lim_{x \to -2} f(x)$?

Core Concept

By factoring the numerator and denominator, the common factor of $(x+2)$ can be canceled. This leaves $(x-2)/(x+1)$. Substituting $x = -2$ into the simplified expression yields $(-4)/(-1) = 4$.