Question Detail
Question
Evaluate the limit of \( \frac{\sqrt{x} - 1}{x - 1} \) as \( x \) tends to 1.
Correct Answer
Option C is the correct answer.
Detailed Explanation
Using rationalisation or L'Hospital's rule, the derivative of ( \sqrt{x} ) is ( \frac{1}{2\sqrt{x}} ). At ( x=1 ), this is ( \frac{1}{2} ).
Hint
Example 6.