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Výpočet limity sinusové funkce
\( Z \) definice zjisti hodnotu limity \( \lim _{n \rightarrow \infty}\left\{\sin \left[\left(\frac{2}{n}\right) \cdot\left(1+\frac{2}{n}\right)\right]\right\} \).
\( \lim _{n \rightarrow \infty}\left\{\sin \left[\left(\frac{3}{n}\right) \cdot\left(1+\frac{2}{n}\right)\right]\right\}=0 \)
\( \lim _{n \rightarrow \infty}\left\{\sin \left[\left(\frac{2}{n}\right) \cdot\left(1+\frac{2}{n}\right)\right]\right\}=0 \)
\( \lim _{n \rightarrow \infty}\left\{\sin \left[\left(\frac{2}{n}\right) \cdot\left(1+\frac{2}{n}\right)\right]\right\}=1 \)
\( \lim _{n \rightarrow \infty}\left\{\sin \left[\left(\frac{2}{n}\right) \cdot\left(1+\frac{3}{n}\right)\right]\right\}=0 \)