📚 Question Bank Q42 — Algorithms
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Algorithms
Q42. Marks: +2.0 UGC NET Paper 2: Computer Science 8th Oct 2022
Assume that f(n) and g(n) are asymptotically positive. Which of the following is correct?
1.f(n) = O(g(n)) and g(n) = O(h(n)) ⇒ f(n) = ω(h(n))
2.f(n) = Ω(g(n)) and g(n) = Ω(h(n)) ⇒ f(n) = O(h(n))
3.f(n) = o(g(n)) and g(n) = o(h(n)) ⇒ f(n) = o(h(n)) ✓ Correct
4.f(n) = ω(g(n)) and g(n) = ω(h(n)) ⇒ f(n) = Ω(h(n))
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