(10 pts) Write true or false to each of the following statements. (a) If f(n) = n + 8, then f(n) E O(ne). (b) If f(n) = %=1 , then f(n) O(n log n). (c) If f(n) O(na) and g(n) O(n), then f(n) + g(n) O(n). (d) If f(n) E O(n), then n x f(n) E O(n^). (e) If f(n) E O(n) and g(n) E O(n), then f(n) x g(n) E O(n^). (f) If f(n) O(n log n), then f(n) x n E O(n log n). (8) If f(n) O(na) and g(n) O(n), then limn700 (n) O(1). (h) If f(n) O(n?) and g(n) EN(n), then limn 400 (m) O(1). (i) If f(n) O(n?) and g(n) O(n2), then limnf(n) O(1). (j) f(n) + g(n) O(max f(n), g(n))