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For each of the following pairs of functions f(n) and g(n), either f(n) = O(g(n)) or g(n) = O(f(n)), but not both. Determine which is
For each of the following pairs of functions f(n) and g(n), either f(n) = O(g(n)) or g(n) = O(f(n)), but not both. Determine which is the case. a. f(n) = (n^2 - n)/2, g(n) = 6n b. f(n) = n + 2 squareroot n, g(n) = n^2 c. f(n) = n + n log n, g(n) = n squareroot n d. f(n) = n^2 + 3n + 4, g(n) = n^3 e. f(n) = n log n, g(n) = n squareroot n/2 f. f(n) = n + log n, g(n) = squareroot n g. f(n) = 2 (log n)^2, g(n) = log n + 1 h. 4n log n + n, g(n) = (n^2 - n)/2
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