For each of the following sequences (left(a_{n} ight)), decide whether it is (a) bounded, (b) increasing, (c)

For each of the following sequences \(\left(a_{n}\right)\), decide whether it is

(a) bounded,

(b) increasing,

(c) decreasing,

(d) convergent:

(i) \(a_{n}=\frac{n^{3}}{n^{3}-1}\).

(ii) \(a_{n}=2^{1 / n}\).

(iii) \(a_{n}=1-\frac{(-1)^{n}}{n}\).

(iv) \(a_{n}=\left|5 n-n^{2}\right|\).