Question Detail

MTH 102 Limits Objective Question

Question

Evaluate the limit of \( \frac{2x^4 - 3x^2 + 1}{6x^4 + x^3 - 3x} \) as \( x \) tends to infinity.
Options
A \(\frac{1}{3}\)
Correct Answer
B \(\frac{2}{3}\)
C 0
D \(\frac{1}{2}\)
Correct Answer

Option A is the correct answer.

Detailed Explanation

Dividing all terms by ( x^4 ) leaves ( \frac{2}{6} = \frac{1}{3} ) as all other terms approach 0.

Hint

Highest power is \( x^4 \).

Question Info