Write true or false to each of the following statements.

(e) If f(n) O(n) and g(n) 0 (n), then f(n) x g(n) O(n^). (f) If f(n) O(n log n), then f(n) xn O(nlogn). (g) If f(n) O(n) and g(n) O(n), then limn+ M 0(1). (h) If f(n) O(n?) and g(n) 12(n), then limnta En (1)