Locate the minimum value of n0 that works and how big is, Computer Engineering

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Locate the minimum value of n0 that works and how big is

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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Computer Engineering: Locate the minimum value of n0 that works and how big is

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Computer Engineering: Locate the minimum value of n0 that works and how big is

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