Question Detail
Question
Evaluate the limit of \( \frac{\ln(2 + e^x)}{3x} \) as \( x \) tends to infinity.
Correct Answer
Option A is the correct answer.
Detailed Explanation
Applying L'Hospital's Rule once gives ( \frac{e^x/(2+e^x)}{3} ). As ( x \to \infty ), ( \frac{e^x}{2+e^x} \to 1 ), so the limit is ( \frac{1}{3} ).
Hint
Model Question 20.