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## Homework Statement

4. Give a c > 0 and an integer n0 ≥ 1 such that, for all n ≥ n0.

b. 16n log (n²) ≤ cn²

The answer (from the sheet) is c = 32

## Homework Equations

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## The Attempt at a Solution

When I attempt to solve such an equation I start at n=1, then go to n=2. but that way I get the answer c=17.

I understand this is kind of a brute force attack. I would like to know what the proper way would be to solve this equation.

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