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1. If mn for all m and n implies that (m) f(n) and g (m) g(n) for two functions f(n), g(n) then what may

1. If mn for all m and n implies that (m) f(n) and g (m) g(n) for two functions f(n), g(n) then what may we conclude about the behavior of these functions as n increases? What may we conclude about f(n) + g(n)? Are we able to conclude anything about f(g(n))?

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