Suppose the series o an is conditionally convergent. (a) Prove that the series o n2 an

Chapter 11, Problem 53

(choose chapter or problem)

Suppose the series o an is conditionally convergent. (a) Prove that the series o n2 an is divergent. (b) Conditional convergence of o an is not enough to determine whether o nan is convergent. Show this by giving an example of a conditionally convergent series such that o nan converges and an example where o nan diverges.

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