1. Mark each statement True or False. Justify each answer. (a) If (sm) 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→ k and t,> k, then S,= t, for all n e N. (d) Every convergent sequence is bounded. %3D
1. Mark each statement True or False. Justify each answer. (a) If (sm) 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→ k and t,> k, then S,= t, for all n e N. (d) Every convergent sequence is bounded. %3D
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 32E
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