Question

Let f(x)= eˣ / x³. (b) State the asymptotes of f.

Answer 1

The asymptotes of the function f(x) = eˣ / x³ are x = 0 (vertical asymptote) and y = 0 (horizontal asymptote).

Step-by-step explanation:

The function f(x) = eˣ / x³ has two asymptotes. The vertical asymptote occurs at x = 0, because the function approaches infinity as x approaches 0 from both the positive and negative sides. The horizontal asymptote occurs at y = 0, because the function approaches 0 as x approaches positive or negative infinity.