Assume as known the (true) fact that alternating harmonic series (1) is convergent, and
Chapter 9, Problem 90(choose chapter or problem)
Assume as known the (true) fact that alternating harmonic series (1) is convergent, and denote its sum by s. Rearrange the series (1) as follows: (2) Assume as known the (true) fact that series (2) is also convergent, and denote its sum by S. Denote by the kth partial sum of the series (1) and (2), respectively. Prove each statement.
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