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).