Questions: Homework Sections 4.1 Limits: A Graphical Approach and Community Question 1S1 Question 4 Question 5 Question 6 Question 7 Question 8 Calculator Ask my instructor Describe from the graph if the function exists at the stated x-value. If the limit exists, find its value. Does the function exist at x=3? F(x) A. F(3)= B. The function does not exist Type an integer or a simplified fraction. What is the limit? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The limit is B. The limit does not exist. lim x to 3 f(x) =

Homework Sections 4.1 Limits: A Graphical Approach and Community Question 1S1 Question 4 Question 5 Question 6 Question 7 Question 8 Calculator Ask my instructor Describe from the graph if the function exists at the stated x-value. If the limit exists, find its value. Does the function exist at x=3? F(x) A. F(3)= B. The function does not exist Type an integer or a simplified fraction. What is the limit? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The limit is B. The limit does not exist. lim x to 3 f(x) =
Transcript text: Homework Sections 4.1 Limits: A Graphical Approach and Community Question 1S1 Question 4 Question 5 Question 6 Question 7 Question 8 Calculator Ask my instructor Describe from the graph if the function exists at the stated x-value. If the limit exists, find its value. Does the function exist at x=3? F(x) A. F(3)= B. The function does not exist Type an integer or a simplified fraction. What is the limit? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The limit is B. The limit does not exist. $\lim_{x \to 3} f(x) =$
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Solution

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Step 1: Determine if the function exists at x=7.

Looking at the graph, when \(x=7\), the function has a value of \(-3\).

Step 2: Determine the limit as x approaches 7.

As x approaches 7 from both the left and the right, the function approaches \(-3\). Therefore, the limit exists.

Step 3: Provide the final answers.

F(7) = \(-3\)

\(\lim_{x\to 7} F(x) = \boxed{-3}\)

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