Q Sum For parts (a)-(e), decide if it is true or false. If the statement is true, then prove it (to prove it you will either need to use the definition and find constants or use the limit laws). If the statement is false, then give a reason or a counterexample a. 10n2 = O(n3). b. n2 ∈ Ω(n3) c. 2n ∈ O(2n+1) d. n! ∈ Θ((n + 1)!) e.√n = O(nsin(n))

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Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.