CA Foundation P3 · Chapter 7 · Question 7 of 9
The value of lim (x→∞) (4x² + 3x)/(2x² − 7) is:
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: B) 2
Explanation
Divide numerator and denominator by x²: (4 + 3/x)/(2 − 7/x²). As x → ∞, 3/x → 0 and 7/x² → 0, so the limit is 4/2 = 2. Inverting the ratio of leading coefficients gives 1/2, and concluding 0 or ∞ ignores that both degrees are equal.
More Sets, Relations and Functions, Basics of Limits and Continuity of Functions MCQs
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