Suppose that series ( an is conditionally convergent. (a) Prove that the series (n2 an is divergent.
Question:
(a) Prove that the series (n2 an is divergent.
(b) Conditional convergence of (an is not enough to determine whether (nan is convergent. Show this by giving an example of a conditionally convergent series such that (nan converges and an example where (nan diverges.
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Suppose that a n is conditionally convergent a n 2 a n is divergent Suppose n 2 a n converges Then b...View the full answer
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