For the function f whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.)

Question

For the function f whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.)

(a) lim x→2 f(x)

(b) f(2)

(c) lim x→5 f(x)

(d) f(5)

Answer 1

a) 2, because the limit from the left of 2 is equal to the limit from the right of 2.

b) DNE because of the open circle at (2,2)

c)DNE, because the limit from the left of 5 is 4 and the limit from the right of 5 is 3. Limit from the right does not equal the limit from the left, then limit (in this case as x approaches 5) does not exit.

d) 3, because of the closed circle at (5,3)