Question Detail
Question
Evaluate \( \lim_{x \to \infty} \frac{10^8 x^5 + 10^6 x^4 + 10^4 x^2}{10^9 x^6 + 10^7 x^5 + 10^5 x^3} \).
Correct Answer
Option B is the correct answer.
Detailed Explanation
For rational functions as ( x \to \infty ), the highest power of ( x ) dominates. Since the denominator has a higher degree (6) than the numerator (5), the limit is 0.
Hint
Compare the degrees of the numerator and denominator polynomial.