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

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

Answer

Explanation:

Step1: Analyze the graph as x→∞

As x approaches positive - infinity, we observe the y - values of the function f(x). Looking at the right - hand side of the graph, as x gets larger and larger, the function values seem to approach a horizontal asymptote.

Step2: Determine the limit value

From the graph, as x→∞, the function f(x) approaches y = - 2. So, $\lim_{x\rightarrow\infty}f(x)=-2$.

Answer:

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