Di dieu hiji bukti formal di LaTeX nu $T(n) = O(n^3) $: Hayu $c=15$ jeung $n_0=1$. Urang bakal ngabuktikeun yén pikeun sakabéh $n\geq n_0$, urang boga $T(n)\leq c\cdot n^3$. $$\begin{aligned} T(n) &= {15n}^3 + n^2 + 4 \ &\leq {15n}^3 + {n}^3 + 4 \ &= (15 + 1) \cdot n^3 + 4 \ &= 16n^3 + 4 \ &\leq 16n^3 \end{aligned}$$ urang boga $T(n)\leq $ 16n3$ pikeun sakabéh n^ge_0$. Ku kituna, urang boga $T$n)
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