Questions: Use the graph of F to find the given limit. When necessary, state that the limit does not exist. lim as x approaches 5 of F(x) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. lim as x approaches 5 of F(x)= (Type an integer or a simplified fraction.) B. The limit does not exist.

Use the graph of F to find the given limit. When necessary, state that the limit does not exist. lim as x approaches 5 of F(x) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. lim as x approaches 5 of F(x)= (Type an integer or a simplified fraction.) B. The limit does not exist.
Transcript text: Use the graph of F to find the given limit. When necessary, state that the limit does not exist. \[ \lim _{x \rightarrow 5} F(x) \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $\lim _{x \rightarrow 5} F(x)=\square$ (Type an integer or a simplified fraction.) $\square$ B. The limit does not exist.
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Solution

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Solution Steps

Step 1: Analyze the graph as x approaches 5 from the left.

As x approaches 5 from the left, the values of F(x) appear to approach 8.

Step 2: Analyze the graph as x approaches 5 from the right.

As x approaches 5 from the right, the values of F(x) appear to approach 8.

Step 3: Determine the limit.

Since the values of F(x) approach the same value (8) as x approaches 5 from both the left and the right, the limit exists and is equal to 8.

Final Answer

\\(\boxed{\lim_{x \rightarrow 5} F(x) = 8}\\) A. \\(\lim _{x \rightarrow 5} F(x)=\boxed{8}\\)

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