allerylim(x→∞) (3x² + x + 1) / (5x² + 2) equals:
A0
B3/5
C1
D∞
Answer & Solution
Correct answer: B. 3/5
1. Divide numerator and denominator by x² (highest power):
2. (3 + 1/x + 1/x²) / (5 + 2/x²).
3. As x → ∞, 1/x and 1/x² → 0.
4. Limit = 3/5.
_Source: syllabus Maths Ch 13 §13.2 Limits at Infinity_
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