Mana, $T(n) = O(n ^ 3) $ ning LaTeXda rasmiy isboti: $c=15$ va $n_0=1$ bo'lsin. Biz $n\geq n_0$ uchun $T(n) \leq c\cdot n^3$ borligini isbotlaymiz. $$\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}$ Shunday qilib, bizda $Tn) \leq 16n^3$ bor. Shuning uchun, $T(O) n^3$.
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