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Answer the all parts of the problem and please show ALL work below using formal definitions of Big-Oh in your proof: 1. (a) Use the
Answer the all parts of the problem and please show ALL work below using formal definitions of Big-Oh in your proof:
1. (a) Use the formal denition of Big-Oh to prove that if f(n) is a function such that 1 = O(f(n)), then square root of (f(n)) = O(f(n))
(b) Use the formal defnition of Big-Oh to prove that if f(n) = O(g(n)) andg(n) = O(h(n)), then f(n) = O(h(n)).
(c) Use the formal denition of Big-Oh to prove that if f(n) = n4 4n3 + 6n2 4n + 1 (suppose to be f(n) = square root of (n^4 - 4n^3 + 6n^2 - 4^n + 1), then f(n) = O(n^2).
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