decide from the graph whether each limit exists. if a limit exists, estimate its value. (a) lim f(x) (b) lim…

decide from the graph whether each limit exists. if a limit exists, estimate its value. (a) lim f(x) (b) lim f(x) x→1 x→ - 1 (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 f(x)= - 2 x→1 (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 f(x)= x→ - 1 (round to the nearest integer as needed.) b. the limit does not exist

decide from the graph whether each limit exists. if a limit exists, estimate its value. (a) lim f(x) (b) lim f(x) x→1 x→ - 1 (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 f(x)= - 2 x→1 (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 f(x)= x→ - 1 (round to the nearest integer as needed.) b. the limit does not exist

Answer

Explanation:

Step1: Analyze limit as x→1

Look at the graph near x = 1. As x approaches 1 from both the left - hand and right - hand sides, the y - values approach - 2.

Step2: Analyze limit as x→ - 1

Examine the graph near x=-1. The left - hand limit and the right - hand limit are not equal. As x approaches - 1 from the left, the y - value is different from the y - value when x approaches - 1 from the right. So the limit does not exist.

Answer:

(a) A. $\lim_{x\rightarrow1}F(x)= - 2$ (b) B. The limit does not exist