Question: Solve the following problems. Problems 1 through 3 are about growth rate of functions. Problem 4 is on analysis. Problems 5 through 7 are on

 Solve the following problems. Problems 1 through 3 are about growth

Solve the following problems. Problems 1 through 3 are about growth rate of functions. Problem 4 is on analysis. Problems 5 through 7 are on design. 1. Prove that log(n!)=(nlogn). 2. Let f(n),g(n) be two asymptotically positive functions. Let h(n) (the maximum of the two functions at any point) be defined as given below

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