Match the Asymptotic notation definitions with their limit properties in List II: List I (Notation) A. (little-o) B. (little-omega) C. (tight bound) D. (Big-O upper bound) List II (Limit Property) (where )

A-1, B-4, C-2, D-3 Explanation: A. (little-o): Represents a strict upper bound where grows strictly slower than asymptotically. The limit property is , which matches with 1 . B. (little-omega): Represents a strict lower bound where grows strictly faster than asymptotically. The limit property is , which matches with 4 . C. (tight bound): Represents an asymptotically tight bound where both functions grow at the same rate. The limit property is where , which matches with 2 . D. (Big-O upper bound): Represents an asymptotic upper bound. The limit property is , which matches with 3 . Correct Match: A-1, B-4, C-2, D-3

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CUET PG 2026 — DSA PYQ

CUET PG | DSA | 2026

Match the Asymptotic notation definitions with their limit properties in List II:

List I (Notation)

A. $f (n) = o (g (n))$ (little-o)
B. $f (n) = ω (g (n))$ (little-omega)
C. $f (n) = Θ (g (n))$ (tight bound)
D. $f (n) = O (g (n))$ (Big-O upper bound)

List II (Limit Property)

$lim_{n \to \infty} \frac{f ( n )}{g ( n )} = 0$

$lim_{n \to \infty} \frac{f ( n )}{g ( n )} = c$ (where $0 < c < \infty$ )

$\lim_{n \to \infty} \frac{f(n)}{g(n)} < \infty$

$lim_{n \to \infty} \frac{g ( n )}{f ( n )} = 0$

Choose the correct answer: