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For all k E N, let ar > 0 and E1 ak = 1. For alln eN, let s, = Ei-1 ak k%3D1 k%3D1

For all k E N, let ar > 0 and E1 ak = 1. For alln eN, let s, = Ei-1 ak k%3D1 k%3D1 and tn = Ek=n ak- Prove that E1(-1)"t, E1n/V5n and an/Vtn converge. 1%3D1 n=D1

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