Oblicz. [latex] lim_{n o infty} frac{ 3n^{3}-2n }{ (2n+3)^{3} } [/latex]

Oblicz. [latex] lim_{n o infty} frac{ 3n^{3}-2n }{ (2n+3)^{3} } [/latex]
Odpowiedź

[latex]lim_{n oinfty}{3n^3-2nover(2n+3)^3}=lim_{n oinfty}{n^3ig(3-{2over n^2}ig)over n^3ig(2+{3over n}ig)^3}}=lim_{n oinfty}{3-{2over n^2}overig(2+{3over n}ig)^3}={3over2^3}={3over8}[/latex]

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