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For each of the following statements, decide whether it is always true, never true, or sometimes true for asymptotically nonnegative functions f and g. If

For each of the following statements, decide whether it is always true, never true, or sometimes true for asymptotically nonnegative functions f and g. If it is always true or never true, explain why. If it is sometimes true, give one example for which it is true, and one for which it is false.

(a) f(n) = O(f(n)2)

(b) f(n) + g(n) = _(max (f(n), g(n)))

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