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| 65626d0 | Notice that if , then and , whereas if , then and . (a) If is absolutely convergent, show that both of the series and are convergent. (b) If is conditionally convergent, show that both of the series and are divergent. 44. Prove that if is a conditionally convergent series and is any real number, then there is a rearrangement of whose sum is . [Hints: Use the notation of Exercise 43. an an 0 a n an 0 an an 0 an 0 an an an a n an.. | James Stewart |