Question Detail

MTH 102 Limits Objective Question

Question

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

Option C is the correct answer.

Detailed Explanation

Applying L'Hospital's Rule once gives ( \frac{1/x}{1/(2\sqrt{x})} = \frac{2}{\sqrt{x}} ). At infinity, this is 0.

Hint

Model Question 18.

Question Info