AP Calculus ABmediummcq1 pt
If f(x) = (ln x)/x, what is the limit of f(x) as x approaches ∞?
A.0
B.1
C.∞
D.-∞
Explanation
Core Concept
This is an indeterminate form ∞/∞. We can use L'Hôpital's Rule: lim(x→∞) (1/x)/1 = lim(x→∞) 1/x = 0. Alternatively, we can reason that as x approaches ∞, ln x grows much more slowly than x, so the ratio approaches 0.
Correct Answer
A0
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