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Question: show step please...

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4. Assume each function in the assertions below are from Z+ to R+. Prove that the propo- sition is true, using the definition of the asymptotic notation(s) or disprove it by giving a counter-example and explaining how the counter-example disproves the assertion (a) l:oreopoesition 1: Iff1 (11) ( ()(m(n)),丘(n) ()(m(n)) and gl (n) ( ()(m(n)) then fi(n) +f2(n) E O(92(n). [15 points] (b) Proposition 2: fi(n) O(g(n)) 10 points]show step please

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