(Solved): 8) Complexity Comparison: - \( n^{\sqrt{ } n}: 2^{n}: n^{3 / 2}: n \log n: n^{\log n} \) - \( 3 n^{ ...

8) Complexity Comparison: - \( n^{\sqrt{ } n}: 2^{n}: n^{3 / 2}: n \log n: n^{\log n} \) - \( 3 n^{v n}: 2^{v n \log n} \) Show asymptotic comparison between \( f(n) \) and \( g(n) \) \( \mathrm{f}(\mathrm{n})=\mathrm{n}^{3} 0<\mathrm{n}<10,000 \) \( =\mathrm{n}^{2} \quad \mathrm{n}>=10,000 \) \[ \begin{aligned} \mathrm{g}(\mathrm{n}) &=\mathrm{n} \quad 0<\mathrm{n}<100 \\ &=\mathrm{n}^{3} \quad \mathrm{n}>=100 \end{aligned} \]