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# Prove that if o an is a conditionally convergent series and r is any real number, then

ISBN: 9781305270336 484

## Solution for problem 52 Chapter 11.6

Single Variable Calculus: Early Transcendentals | 8th Edition

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Problem 52

Prove that if o an is a conditionally convergent series and r is any real number, then there is a rearrangement of o an whose sum is r. [Hints: Use the notation of Exercise 51. Take just enough positive terms an 1 so that their sum is greater than r. Then add just enough negative terms an 2 so that the cumulative sum is less than r. Continue in this manner and use Theorem 11.2.6.]

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On Rulers 4.12.16 Democracy in America & politics of the governed 4.14.16 On weak vs strong democracy  Participation is lower in weak democracies (this is by design)  Theories of democracy often vary on degree to which citizens are participants in political process o In weak democracies, political participation is limited to voting o In strong democracies, exercising political voices beyond voting: campaigning, protesting, engaging elected officials, active deliberation, art & culture  Weak vs strong theories of democracy Robert Dahl, Guardianship  Discussion btw “demos” & aros”, they arg

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Prove that if o an is a conditionally convergent series and r is any real number, then