Question Detail
Question
Evaluate the limit of \( \frac{\sqrt{4+x} - 2}{x} \) as \( x \) tends to 0.
Correct Answer
Option A is the correct answer.
Detailed Explanation
Using L'Hospital's rule, derivative of numerator is ( \frac{1}{2\sqrt{4+x}} ). At ( x=0 ), this is ( \frac{1}{4} ).
Hint
Exercise 1.1, Question 9.