(10 points) Asymptotic notation exercise. Explain why the following claims are true or false, or fill in the '?' to make them true. (a) Is (n+1)!=O(n!)? (b) Is 2n=O(2n) ? (c) Is 2n=(3n) ? (d) If f(n) and g(n) are functions and f(n)=O(g(n)) then logf(n)=O(logg(n)). (e) If f(n) and g(n) are functions and f(n)=(g(n)) then 2f(n)=(2g(n))