Question Detail
Question
Evaluate the limit of \( \frac{x - 4}{\sqrt{x} - 2} \) as \( x \) tends to 4.
Correct Answer
Option B is the correct answer.
Detailed Explanation
Factor the numerator as ( (\sqrt{x} - 2)(\sqrt{x} + 2) ). Cancel ( (\sqrt{x} - 2) ) to leave ( \sqrt{x} + 2 ). At ( x=4 ), this is 4.
Hint
Model Question 23.