Question Detail
Question
Evaluate the limit of \( \frac{\ln(e^{3x} - 5x)}{x} \) as \( x \) approaches 0.
Correct Answer
Option B is the correct answer.
Detailed Explanation
Applying L'Hospital's rule: ( \frac{1}{e^{3x} - 5x} \cdot (3e^{3x} - 5) ) divided by 1. At ( x=0 ), this is ( \frac{1}{1} \cdot (3 - 5) = -2 ).
Hint
Exercise 1.1, Question 27.