Consider the following six sequences: Cn = n², dn 6n + 4 7n 3' Wn = n Un - = (-²) * · (27). —2)", Zn = n cos Vn = (−1)” + For each of these six sequences, answer the following questions: (a) Give an example of a monotone subsequence. (b) Give its set of subsequential limits. (c) Give its lim sup and lim inf. (d) Is it bounded? 1/4 n

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