AP Calculus AB / limits and continuity / Question No. 44

44. Which of the following functions has both a vertical and horizontal asymptote?

\( f(x) = \frac{1}{1 + e^{-x}} \)

\( f(x) = \frac{x}{x^2 + 2} \)

\( f(x) = \frac{x}{x^2 - 2} \)

\( f(x) = \frac{x^2 + 2}{x} \)

Answer is: option3 - \( f(x) = \frac{x}{x^2 - 2} \)

Solution:

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