Determine whether the following statement is true or false. If the statement is true, prove it, and, if it is false, provide a counterexample. If an is conditionally convergent, then n*an is divergent, for each k E (1, +∞). nƐN nƐN

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 72E
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p10 how to prove it using a convergent test method from calc II or counter?

Determine whether the following statement is true or false. If the
statement is true, prove it, and, if it is false, provide a counterexample.
If an is conditionally convergent, then ) nan is divergent, for each k E (1, +).
*An
nEN
nƐN
Transcribed Image Text:Determine whether the following statement is true or false. If the statement is true, prove it, and, if it is false, provide a counterexample. If an is conditionally convergent, then ) nan is divergent, for each k E (1, +). *An nEN nƐN
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