Question: Consider the assertions below. Prove or disprove the assertion using limits, possibly with LHopitals rule. Also, if the assertion is true, show that it is

Consider the assertions below. Prove or disprove the assertion using limits, possibly with LHopitals rule. Also, if the assertion is true, show that it is true directly from the definition of the asymptotic notation and derive values for the relevant constants.

(a) 3n 2 + 5n + 7 O(n2 )

(b) 5(n 2)! (n!)

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