I'm doing a practice question (not graded HW) to understand mathematical proofs and their application to Big O proofs. So far, however, the very first problem in my text is stumping me wholly.
Suppose $f(n) = O(g(N))$ and $g(n) = O(h(n))$ (all functions are positive).
Prove that $f(n) = O(h(n))$.
I am having lots of trouble with this, and it would be greatly helpful if someone showed me how to do this.