If > uk and > v% are convergent series, then > (uk + v%) and 2(uk – Vk) are convergent series and the sums of these series are - related by 2(uk + vk) = 2Uk + Uk k=1 k=1 00 00 00 >(uk – Vk) UR) = Luk – L Uk - k=1 k=1 k=1 Use the above theorem to find the sum of each series. NOTE: Write your answer in the form of a reduced improper fraction, if necessary. 1 (а) k2 – 1 k=2 10k–1 8WI WI

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