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Question: Suppose T (n) = n^3 + 5n^2 + 20n ? 10.
To show formally that T (n) = O(n^3), we have to exhibit constants c >0 and n0 ? 0 such that for all n ? n0, T (n) ? cn^3.
First consider c = 2, and find the minimum value of n0 that works.
Then try c = 1.1. How big is the minimum value of n0 now?
You have to locate the minimum value of n0 that works and how big is the minimum value of n0 now?
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