Prove that if is a conditionally convergent series and is
Chapter 11, Problem 11.352(choose chapter or problem)
Prove that if is a conditionally convergent series and is any real number, then there is a rearrangement of whose sum is . [Hints: Use the notation of Exercise 39. Take just enough positive terms so that their sum is greater than . Then add just enough negative terms so that the cumulative sum is less than . Continue in this manner and use Theorem 11.2.6.]
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