Question Detail

MTH 102 Limits Objective Question

Question

Evaluate the limit of \( \frac{e^{3x}}{x^2} \) as \( x \) tends to infinity.
Options
A 0
B 3
C Infinity
Correct Answer
D 1
Correct Answer

Option C is the correct answer.

Detailed Explanation

Applying L'Hospital's Rule repeatedly shows the exponential grows faster than the polynomial, resulting in infinity.

Hint

Model Question 16.

Question Info