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