Problem 1 (20 points) Are the following statements true or false? For each part, first state whether it is true or false, then prove your claim. 1.1 f(n)=O(f(n2)) 1.2 log(f(n))=(log(g(n)))f(n)=O(g(n)) 1.3f(n)+g(n)=(2f(n)+g(n)) 1.4log(n!)=(nlog(n))