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Výpočet limity posloupnosti
Spočítej hodnotu limity \( \lim _{n \rightarrow \infty}\left(n-\sqrt{n^{2}-1}\right) \).
\( \lim _{n \rightarrow \infty}\left(n-\sqrt{n^{2}-1}\right)=1 \)
\( \lim _{n \rightarrow \infty}\left(n-\sqrt{n^{2}-1}\right)=0 \)
\( \lim _{n \rightarrow \infty}\left(n-\sqrt{n^{2}-1}\right)=-1 \)
\( \lim _{n \rightarrow \infty}\left(n-\sqrt{n^{2}-1}\right)=n \)