Mark each statement True or False. Justify each answer. (a) If (sn) is a sequence and s; = Sj, then i = j. (b) If sn→ s, then for every ɛ>0 there exists Ne N such that n>N implies |Sn- s|< E. (c) If s,→kand t → k, then s,= t, for all n e N.

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1. Mark each statement True or False. Justify each answer.
(a) If (Sn) is a sequence and s; = Sj, then i =j.
(b) If s,→ s, then for every ɛ> 0 there exists Ne N such that n> N implies
|Sn- s|< E.
(c) If s,→ k and t, -> k, then s, = t, for all n e N.
(d) Every convergent sequence is bounded.
Transcribed Image Text:1. Mark each statement True or False. Justify each answer. (a) If (Sn) is a sequence and s; = Sj, then i =j. (b) If s,→ s, then for every ɛ> 0 there exists Ne N such that n> N implies |Sn- s|< E. (c) If s,→ k and t, -> k, then s, = t, for all n e N. (d) Every convergent sequence is bounded.
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