Assume as known the (true) fact that the alternating harmonic series (1) is convergent

Chapter 9, Problem 91

(choose chapter or problem)

Assume as known the (true) fact that the 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 the 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. S S s 3n s4n 12 s2n,

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