For the function f whose graph is shown, state the following. (If an answer does not exist, enter DNE.)

Question

(a)    lim x → −7 f(x)

(b)    lim x → −3 f(x)

(c)    lim x → 0 f(x)

(d)    lim x → 6⁻ f(x)

Answer 1

a) Yes, both sides converge to the vertical asymptote, so the limit is -∞.

b) Yes, same reason as above, the limit is ∞.

c) Yes, same as above, limit ∞.

d) Yes, we only care about the left side, which converges to -∞.