APFIVE Interpreting Limits and Asymptotes
The function $$ k $$ is continuous on its domain and has vertical asymptote $$ x = -3 $$ and horizontal asymptote $$ y = 7 $$. If $$ \lim_{x \to -3^+} k(x) = +\infty $$ and $$ \lim_{x \to -\infty} k(x) = 7 $$, which of the following statements must be true?
A
(D) $$ \lim_{x \to -\infty} k(x) = 7 $$
B
(A) $$ \lim_{x \to -3^-} k(x) = +\infty $$ and $$ \lim_{x \to +\infty} k(x) = 7 $$
C
(B) $$ \lim_{x \to -3^-} k(x) = -\infty $$
D
© $$ \lim_{x \to -3^-} k(x) = 7 $$ and $$ \lim_{x \to +\infty} k(x) = -3 $$
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