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Sequence, nded Above, 7 Above 1), Noy m 6. The greatest lower bound of sequence (=) is 1, fa} 0 (b) 1, +—l (cy (A) not exist, n+9* ] 2, . ‘ 2n 7 tim See eae to 1, +1 n+ Sr? + Gn+ 2, a 5 b 3, cs (a) 3 (b) z, (cl 0 (d) does not exist, 8. The supremum of sequence {sin 1) is |, fa) 0 (b) 1 1, the follow; (c) 2 {d) not exist, "9 is auc, 1, 9. lim rn" is equal to, (b) (ny? nn ", n+ fa) 0 (b) 1, (d) : (eas id) =, wi 1 10. The sequence (1) is, ; lim | 14 *) ' \nl, 7 ‘ (a) unbounded and convergent it, int and hence cauchy (b) bounded and convergent, (c) bounded and divergent, (d) divergent, 11, The sequence ((~1)") is 2a, (a) convergent, {b) divergent, (c) bounded 21, | convergent? (d) not bounded, ) (nt 2 12. The sequence (a,), where a, = —n* is, n+3 (a) bounded below a, 2 (b) bounded above, . (c) bounded, ence’ {d) none of these, »quence, il 13. The sequence (n} is bounded below by, " (a) 1 b) 2 s, nt (c) 3 (d) 4, ded sequen™ 14. __ Every bounded monotonically increasing sequence, jot bounce ., : (a) convergent (b) divergent, a {c) oscillatory (d) none of these