Questions: Use the graph of R, shown on the right, to find the given limit. When necessary, state that the limit does not exist. lim [x -> -4^-] F(x) Select the correct choice below and fill in any answer boxes in your choice. A. lim [x -> -4^-] F(x) = □ (Type an integer or a simplified fraction.) B. The limit does not exist.

Use the graph of R, shown on the right, to find the given limit. When necessary, state that the limit does not exist.

lim [x -> -4^-] F(x)

Select the correct choice below and fill in any answer boxes in your choice.
A. lim [x -> -4^-] F(x) = □ (Type an integer or a simplified fraction.)
B. The limit does not exist.
Transcript text: Use the graph of R, shown on the right, to find the given limit. When necessary, state that the limit does not exist. \[ \lim _{x \rightarrow-4^{-}} F(x) \] Select the correct choice below and fill in any answer boxes in your choice. A. $\lim _{x \rightarrow-4^{-}} F(x)=$ $\square$ (Type an integer or a simplified fraction.) B. The limit does not exist.
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Solution

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Solution Steps

Step 1: Analyze the graph

We are asked to find the limit of F(x) as x approaches -4 from the left. This means we look at the graph and follow it as x values get closer and closer to -4, but are slightly less than -4.

Step 2: Determine the limit

As we approach x = -4 from the left, the graph of F(x) approaches the y-value of 3.

Final Answer

A. $\lim _{x \rightarrow-4^{-}} F(x)=3$

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