Solution
= Solution
\b[True.] For every <integer> $n\geq1$, $n^2\leq n^3$ and $1\leq n^3$. Therefore
$$
0\leq n^3+1000n^2+96\leq1097n^3.
$$
The constants $C=1097$ and $N=1$ satisfy the definition of <Big O notation>. Whether the chosen convention for natural numbers includes zero is immaterial to this eventual assertion.