Questions: Question 4, 2.3.19 HW Score: 12.35%, 2.1 of 17 points Part 2 of 5 Points: 0 of 1 Use the graph of the function f shown to estimate the indicated quantities to the nearest integer. Complete parts a through e. a. Find the limit lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. lim x -> 2- f(x)=4 B. The limit does not exist. b. Find the limit lim x -> 2- f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. lim x -> 2+ f(x)= B. The limit does not exist.

Question 4, 2.3.19
HW Score: 12.35%, 2.1 of 17 points
Part 2 of 5
Points: 0 of 1

Use the graph of the function f shown to estimate the indicated quantities to the nearest integer. Complete parts a through e.
a. Find the limit lim f(x).

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. lim x -> 2- f(x)=4
B. The limit does not exist.
b. Find the limit lim x -> 2- f(x).

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. lim x -> 2+ f(x)=
B. The limit does not exist.

Transcript text: Question 4, 2.3.19 HW Score: $12.35 \%, 2.1$ of 17 points Part 2 of 5 Points: 0 of 1 Use the graph of the function f shown to estimate the indicated quantities to the nearest integer. Complete parts a through e. a. Find the limit lim $f(x)$. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $\lim _{x \rightarrow 2^{-}} f(x)=4$ B. The limit does not exist. b. Find the limit $\lim _{x \rightarrow 2^{-}} f(x)$. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $\lim _{x \rightarrow 2^{+}} f(x)=$ $\square$ B. The limit does not exist.

Solution

Solution Steps

Step 1: Understanding the Problem

We need to find the limits of the function $ f(x) $ as $ x $ approaches specific values using the provided graph.

Step 2: Analyzing the Graph

Examine the graph to determine the behavior of $ f(x) $ as $ x $ approaches the given values.

Step 3: Finding the Limit as $ x $ Approaches -2

From the graph, observe the value of $ f(x) $ as $ x $ approaches -2 from both the left and the right.
The function appears to approach the value 4 as $ x $ approaches -2.

Final Answer

a. $\lim_{{x \to -2}} f(x) = 4$

Step 4: Finding the Limit as $ x $ Approaches 2

From the graph, observe the value of $ f(x) $ as $ x $ approaches 2 from both the left and the right.
The function appears to approach the value -2 as $ x $ approaches 2.

Final Answer

b. $\lim_{{x \to 2}} f(x) = -2$

Step 5: Finding the Limit as $ x $ Approaches 4

From the graph, observe the value of $ f(x) $ as $ x $ approaches 4 from both the left and the right.
The function does not approach a single value as $ x $ approaches 4, indicating the limit does not exist.

Final Answer

c. The limit does not exist.

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