Question Detail
Question
Evaluate the limit of \( \frac{\sqrt{x^2 + 9} - 3}{x^2} \) as \( x \) tends to 0.
Correct Answer
Option A is the correct answer.
Detailed Explanation
Rationalising the numerator yields ( \frac{1}{\sqrt{x^2 + 9} + 3} ). Substituting ( x=0 ) gives ( \frac{1}{6} ).
Hint
Model Question 10.