Question

use the graph to evaluate the limit. find lim f(x) and lim f(x) x→(-1)^- x→(-1)^+

Explanation:

Step1: Understand left - hand limit

The notation $\lim_{x
ightarrow(- 1)^{-}}f(x)$ means the limit of $f(x)$ as $x$ approaches $-1$ from the left - hand side. Looking at the graph, as $x$ approaches $-1$ from the left, the $y$ - value approaches $-7$.

Step2: Understand right - hand limit

The notation $\lim_{x
ightarrow(-1)^{+}}f(x)$ means the limit of $f(x)$ as $x$ approaches $-1$ from the right - hand side. Looking at the graph, as $x$ approaches $-1$ from the right, the $y$ - value approaches $-2$.

Answer:

C. $-7; - 2$