Find the limit as x approaches infinity of (4x^2 + 3x) / (2x^2 + 1).
Answer and explanation
Correct answer: B. 2
- Step 1: Divide the numerator and denominator by x^2: (4 + 3/x) / (2 + 1/x^2).
- Step 2: The terms 3/x and 1/x^2 tend to 0, so the limit is 4/2 = 2.
Answer
2.
Why not the others: The limit is the ratio of leading coefficients; the ratio of the low-degree terms, infinity and zero come from comparing the wrong terms.
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