Question Detail

MTH 102 Limits Objective Question

Question

Evaluate the limit of \( \frac{\ln x}{x} \) as \( x \) tends to infinity.
Options
A 1
B 0
Correct Answer
C Infinity
D e
Correct Answer

Option B is the correct answer.

Detailed Explanation

Using L'Hospital's rule: ( \frac{1/x}{1} ). At infinity, this is 0.

Hint

Growth rates.

Question Info