Question Detail
Question
Evaluate the limit of \( \frac{x(x+1)}{2\sqrt{9x^4 + 1}} \) as \( x \) tends to infinity.
Correct Answer
Option B is the correct answer.
Detailed Explanation
The numerator leading term is ( x^2 ). The denominator leading term is ( 2\sqrt{9x^4} = 6x^2 ). The limit is ( \frac{1}{6} ).
Hint
Example 9.