Let all functions be positive functions. For each of the following statements, you must either prove the statement formally or provide a counter example with brief explanation. You may only use the definitions of asymptotic notations. Any other property of asymptotic notations must be proved before using. f(n) If f(n) = (g(n)), then limn = k for some constant k. g(n) f(n) If limno g(n) = 3, then f(n) = (g(n)).