Question Detail

MTH 102 Limits Objective Question

Question

Evaluate the limit of \( \frac{\sqrt{x} - 2}{x - 4} \) as \( x \) approaches 4.
Options
A \(\frac{1}{4}\)
Correct Answer
B \(\frac{1}{2}\)
C 1
D 0
Correct Answer

Option A is the correct answer.

Detailed Explanation

Equivalent to Example 6. Using L'Hospital's rule or conjugates, the result is ( \frac{1}{4} ).

Hint

Exercise 1.1, Question 15.

Question Info