Question

evaluate the limit and show your work. $lim_{x
ightarrow - 4}\frac{x^{2}+6x + 8}{x + 4}$ a -4 b -2 c 2 d 4

Explanation:

Step1: Factor the numerator

Factor $x^{2}+6x + 8$ as $(x + 2)(x+4)$. So the function becomes $\frac{(x + 2)(x + 4)}{x+4}$.

Step2: Simplify the function

Cancel out the common factor $(x + 4)$ (for $x
eq - 4$). The simplified function is $x + 2$.

Step3: Find the limit

Substitute $x=-4$ into $x + 2$. We get $-4+2=-2$.

Answer:

B. -2