1) (a) Determine if the following statements are true or false. If true give a reason or cite a theorem and if false, give a counterexample. i) If {a, } is bounded, then it converges. ii) If {a,} is not bounded, then it diverges. iii) If {a„ } diverges, then it is not bounded.
1) (a) Determine if the following statements are true or false. If true give a reason or cite a theorem and if false, give a counterexample. i) If {a, } is bounded, then it converges. ii) If {a,} is not bounded, then it diverges. iii) If {a„ } diverges, then it is not bounded.
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 74E
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Determine if the following statement is true or false. If true give a reason or cite a theorem and if false, give a counter example.
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