Hello, can you help me solve problem? Thank you! Give a counterexmple: 1. Every convergent sequence is monotone. 2. If (| sn |) is convergent then (sn ) is convergent.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 18E
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Hello, can you help me solve problem? Thank you!

Give a counterexmple:

1. Every convergent sequence is monotone.
2. If (| sn |) is convergent then (sn ) is convergent.

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