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

(a)    lim x → −3⁻ h(x)

(b)    lim x → −3⁺ h(x)

(c)    lim x → −3 h(x)

(d)    h(−3)

Answer 1

a.) 4 (approaching from left)

b.) 4 (approaching from right)

c.) 4 (approaching from left = approaching from right)

d.) DNE, as there is a hole dictated by the open circle.