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.
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.
Solution
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.