Let f(n), g(n), and h(n) be non-negative functions such that f(n) is O(g(n)) and g(n) is O(h(n)). Use the definition of big Oh to prove that f(n) + g(n) is O(h(n)).

1.First explain what needs to be proven: We need to find constants c > 0 and n0 1 integer such that . . ..

2. use the definition of big Oh to explain what it means for f(n) to be O(g(n)) and for g(n) to be O(h(n)).

3.Simplify the above inequalities

4.Determine the values for c and n0.