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Výpočet limity postupnosti
Urči limitu postupnosti \( a_{n}=\frac{\left(n^{3}-2 n^{2}\right)^{2}}{n^{6}} \).
\( \lim _{n \rightarrow \infty}\left[\frac{\left(n^{3}-2 n^{2}\right)^{2}}{n^{6}}\right]=\infty \)
\( \lim _{n \rightarrow \infty}\left[\frac{\left(n^{3}-2 n^{2}\right)^{2}}{n^{6}}\right]=1 \)
\( \lim _{n \rightarrow \infty}\left[\frac{\left(n^{3}-2 n^{2}\right)^{2}}{n^{6}}\right]=0 \)
\( \lim _{n \rightarrow \infty}\left[\frac{\left(n^{3}-2 n^{2}\right)^{2}}{n^{6}}\right]=2 \)