======T4====== Pro následující posloupnosti najděte inf{an }∞ n=1 , sup{an }n=1 a vypočítejte \( \lim_{n \to \infty} \inf a_n \) , \( \lim_{n \to \infty} \sup a_n \) : =====38.===== \(a_n = \frac{1}{n} \) [[wa> lim 1/n as n->infinity]] [[wa> series 1/n ]] =====39.===== \(a_n = 1 − \frac{1}{n} \) [[wa> lim 1 - 1/n as n->infinity]] =====40.===== \(a_n = \frac{(-1)^n}{n} \) [[wa> lim (-1)^n / n as n->infinity]] =====41.===== \(a_n = −n \) [[wa> lim -n as n->infinity]] =====42.===== DELETEME \(a_n = (−1)^{n−1} (2 + \frac{3}{n}) \) =====43.===== DELETEME \(a_n = (−1)^n n \) [[wa> lim -1^n n as n->infinity]] =====44.===== DELETEME \(a_n = n^{(−1)^n} \) [[wa> lim n^((-1)^n) as n->infinity]] =====45.===== DELETEME \(a_n = 1 + n \sin \frac{n \pi}{2} \) =====46.===== DELETEME \(a_n = \frac{1}{n - 10.2} \)