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

Question

(a)    lim x → 2⁻ f(x)

(b)    lim x → 2⁺ f(x)

(c)    lim x → 2 f(x)

(d)    f(2)

(e)    lim x → 4 f(x)

(f)    f(4)

Answer 1

a) 3

b) 1

c) DNE

d) 3

e) 4

f) DNE

Answer 2

James is correct except for (c)

(c) is DNE

Reason : for the limit to exist the limit from the left and limit from the right must a) both exist as a finite value and b) be the same

the left hand limit is 3, and the right 1, so they do both exist, but are unequal