Use the graph to answer these questions a Find im Ex) and lim tw) b Find im fix

Question

Use the graph to answer these questions a Find im Ex) and lim tw) b Find im fix c Find N4) d is f(x) continuous at x 47 Why or why not? in the answer box to complete your choice a. Sdeet the correct choice below and, necessry A in twi-Simpity your answer) O8. The limit does not exist Select the correct choice below and Tnecessary fl in the answer box to complete your choice OA. im tw(Simpliy your nswet) O 8. The limit does not exist b Select the correct choice below and If necessaty fill in the answer bax to complete your choice O A. limf(x1+1 (Senplify your answer.) O B./ The lirnt does not exist c Select the correct choice below and if necessary il in the answer box to complete your chöice O A, '(4)111 (Simplify your answer.) O B. The function is undefined atx-4 d is ) continuous at x 4? Why or why not? O A/ No.1xis not continuous at x 4 because im l does not exist Click to select your answer ? 0 Type here to peach

Explanation / Answer

a. As x approaches to 4 from left side ( that is x->4^+), f(x) approaches to 4. so the value of the limit is 4

As x approaches to 4 from right side,f(x) approaches to 2. so the value of the limit is 2

b. Since the two limits are not equal, so the limit does not exist.

c.f(4)

When x=4, y=2. Therefore f(4)=2

d.Since the two limits are not equal so the function is not continuous.

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