refer to the graph of y = f(x) to the right to describe the behavior of lim f(x) as x→∞. use -∞ and ∞ where…

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

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

Answer

Explanation:

Step1: Analyze the graph as x approaches infinity

As (x\to\infty), observe the long - term behavior of the function (y = f(x)) from the graph. The function appears to approach a horizontal asymptote.

Step2: Determine the limit value

By looking at the right - hand side of the graph as (x) gets larger and larger, we can see that the function values are approaching a specific value. In this case, as (x\to\infty), the function (y = f(x)) approaches a horizontal line (y=- 2). So (\lim_{x\to\infty}f(x)=-2).

Answer:

A. (\lim_{x\to\infty}f(x)= - 2)