Question Detail

MTH 102 Limits Objective Question

Question

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

Option A is the correct answer.

Detailed Explanation

The limit at infinity of a ratio of polynomials of the same degree is the ratio of their leading coefficients: ( \frac{4}{3} ).

Hint

Model Question 5.

Question Info