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Výpočet limity pro n jdoucí k nekonečnu
Zjisti hodnotu limity \( \lim _{n \rightarrow \infty}\left[\left(3 n-\frac{1}{n}\right)\left(n+\frac{2}{n}\right)\right] \).
\( \lim _{n \rightarrow \infty}\left[\left(3 n-\frac{1}{n}\right)\left(n+\frac{2}{n}\right)\right]=1 \)
\( \lim _{n \rightarrow \infty}\left[\left(3 n-\frac{1}{n}\right)\left(n+\frac{2}{n}\right)\right]=0 \)
\( \lim _{n \rightarrow \infty}\left[\left(3 n-\frac{1}{n}\right)\left(n+\frac{2}{n}\right)\right]=-\infty \)
\( \lim _{n \rightarrow \infty}\left[\left(3 n-\frac{1}{n}\right)\left(n+\frac{2}{n}\right)\right]=\infty \)