
19.5.8 Compactness
Condition: whether the following sets of functions in the space \ (C [0.1]: \) a) \ (\ left {t {n {n}: n \ in {n} \ right \} \) \ (\ left {n \ left (1- \ cos (1- \ cos. \ left (\ frac {1} {n} t \ right) \ right): n \ in \ mathbb {n} \ right \} \)