Question

decide from the graph whether each limit exists. if a limit exists, estimate its value. (a) $lim_{x
ightarrow4}f(x)$ (b) $lim_{x
ightarrow1}f(x)$ (a) what is the value of the limit? select the correct choice below and, if necessary, fill in the answer box within your choice. a. $lim_{x
ightarrow4}f(x)=$ (round to the nearest integer as needed.) b. the limit does not exist. (b) what is the value of the limit? select the correct choice below and, if necessary, fill in the answer box within your choice. a. $lim_{x
ightarrow1}f(x)=$ (round to the nearest integer as needed.) b. the limit does not exist.

Explanation:

Step1: Analyze limit as x→4

Approach x = 4 from both left - hand and right - hand sides on the graph. If the y - values approach the same number, the limit exists.

Step2: Estimate the value

By observing the graph, as x approaches 4, the y - value of the function approaches 0.

Step3: Analyze limit as x→1

Approach x = 1 from both left - hand and right - hand sides on the graph. If the y - values approach the same number, the limit exists.

Step4: Estimate the value

By observing the graph, as x approaches 1, the y - value of the function approaches 6.

Answer:

(a) A. $\lim_{x
ightarrow4}F(x)=0$
(b) A. $\lim_{x
ightarrow1}F(x)=6$