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Convergence of series

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(a) A certain infinite series (some of whose terms are positive and some of whose terms are negative) is known to converge, but does not converge absolutely. Explain how this is possible, by giving two such example series.
(b) Determine whether each of the attached infinite series converges or diverges.

See the attached file.

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The solution shows how to determine if series are convergent or divergent.

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