Use the graph of the function f to find , and if the limit exists.
A) ; ; does not exist
B) ; ;
C) ; ;
D) ; ; does not exist

Question

Use the graph of the function f to find  ,  and  if the limit exists. ​  ​
A) ; ; does not exist 
B) ; ; 
C) ; ; 
D) ; ; does not exist

Quizplus · Accepted Answer

From the graph, we can see that as x approaches 3 from the left, the values of f(x) approach 2. This means that the limit of f(x) as x approaches 3 from the left is 2. Similarly, as x approaches 3 from the right, the values of f(x) approach 4. This means that the limit of f(x) as x approaches 3 from the right is 4. However, these two limits are not equal, which means that the limit of f(x) does not exist as x approaches 3. Therefore, the correct choice is A.

Use the Graph of the Function F to Find