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HomeNDAMathematicsLimits and Derivatives › lim(x→∞) (3x² + x + 1) / (5x² + 2) equals:

lim(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: NCERT Class 11 Maths Ch 13 §13.2 Limits at Infinity_
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