Question Detail
Question
Evaluate the limit of \( \frac{3 - \sqrt{x}}{9 - x} \) as \( x \) approaches 9.
Correct Answer
Option A is the correct answer.
Detailed Explanation
Factor ( 9 - x ) as ( (3-\sqrt{x})(3+\sqrt{x}) ). Cancelling ( (3-\sqrt{x}) ) leaves ( \frac{1}{3+\sqrt{x}} ). At ( x=9 ), this is ( \frac{1}{6} ).
Hint
Exercise 1.1, Question 18.