refer to the graph of y = f(x) to the right to describe the behavior of lim f(x) as x→ - 3⁺. use - ∞ and ∞…

refer to the graph of y = f(x) to the right to describe the behavior of lim f(x) as x→ - 3⁺. use - ∞ and ∞ where appropriate. select the correct choice below and fill in any answer boxes in your choice. a. lim f(x)=□ as x→ - 3⁺ 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→ - 3⁺. use - ∞ and ∞ where appropriate. select the correct choice below and fill in any answer boxes in your choice. a. lim f(x)=□ as x→ - 3⁺ b. the limit does not exist and is neither - ∞ nor ∞.

Answer

Explanation:

Step1: Analyze right - hand limit

As (x\to - 3^{+}), observe the graph of (y = f(x)). When (x) approaches (-3) from the right - hand side, we look at the values of (y) for (x) values slightly greater than (-3).

Step2: Determine the limit value

From the graph, as (x\to - 3^{+}), the function (y = f(x)) approaches (-\infty). So (\lim_{x\to - 3^{+}}f(x)=-\infty). Since this is not the case in the given options and the limit actually exists as (-\infty), the correct choice is that the limit does not match the non - existent case in option B.

Answer:

A. (\lim_{x\to - 3^{+}}f(x)=-\infty)