Question

refer to the graph of y = f(x) to the right to describe the behavior of lim f(x) as x→1⁻. use -∞ and ∞ where appropriate. select the correct choice below and fill in any answer boxes in your choice. a. lim f(x)=□ as x→1⁻ b. the limit does not exist and is neither -∞ nor ∞.

Explanation:

Step1: Analyze left - hand limit

To find $\lim_{x
ightarrow1^{-}}f(x)$, we look at the behavior of the graph of $y = f(x)$ as $x$ approaches $1$ from the left - hand side.

Step2: Observe the graph

As $x$ approaches $1$ from the left, the $y$ - values of the function approach $2$.

Answer:

A. $\lim_{x
ightarrow1^{-}}f(x)=2$