Question

the graph of f shown below has vertical asymptotes at x = -3 and x = 5. analyze the following limits.

a. \\(\lim_{x \to -3^-} f(x)\\)
b. \\(\lim_{x \to -3^+} f(x)\\)
c. \\(\lim_{x \to -3} f(x)\\)
d. \\(\lim_{x \to 5^-} f(x)\\)
e. \\(\lim_{x \to 5^+} f(x)\\)
f. \\(\lim_{x \to 5} f(x)\\)

d. select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. \\(\lim_{x \to 5^-} f(x) = \\)
b. the limit does not exist and is neither \\(\infty\\) nor \\(-\infty\\).

Explanation:

Analyze the behavior of \(f(x)\) as \(x \to 5^-\) from the graph

$$ \lim_{x \to 5^-} f(x) = -\infty $$

Evaluate the multiple-choice options for part d

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Answer:

• (A) \(\lim_{x \to 5^-} f(x) = -\infty\) (Correct answer)
• (B) The limit does not exist and is neither \(\infty\) nor \(-\infty\).