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Question # 4. (5 marks) (a) State precisely our theorem on the convergence of telescoping series. (6) Evaluate the series, 2

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Solmo a) Suppose Ebn is a series such that bn anti-an. op Now; Ebn = Elantan) is convergent off • convergent, sent and Eantan(c) let us take bra bn = (y) An= bn bnt2. a, bi-63 11 Oy Eb2 - 4 = 1-1) = 0 Az = by- bs =4-(-1) = 0 bnta al an = bn bnta if n

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